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SPECIAL  LISTS 


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No.  1 


MATHEMATICS 


ITHACA,  NEW  YORK 
1883 


This  list  of  works  relating  to  Mathematics  (reprinted  from  “The  Li- 
brary of  Cornell  University,”  Nos.  2 to  6)  includes  such  allied  subjects  as  As- 
tronomy, Engineering,  and  Physics. 

In  the  scheme  of  classification  the  general  divisions  of  the  subject  are 
placed  first,  followed  by  collective  works  and  miscellaneous  applications,  and  these 
in  turn  by  special  subjects  arranged  in  alphabetical  order. 

The  Library  is  indebted  to  Professor  J.  E.  Oliver  for  aid  in  the  classifica- 
tion of  titles;  but,  owing  to  the  circumstances  attending  the  publication  of  the 
list  in  serial  form,  some  inconsistencies  will  doubtless  be  found. 


P ^ |j"c  University— Libraries. 


Unbound,  8^. 

Contents.-  1.  Mathematics.  2.  References  on 
municipal  government  in  the  United  States  by 

Hodder.  (From  the  Library  bulletin,  vol. 


■C  C70711I  MB 


/ 


WORKS  RELATING  TO  MATHEMATICS  IN 
CORNELL  UNIVERSITY  LIBRARY. 

The  books  composing  the  following  list  form  what  is  known  as  the  ** Kelly  Mathemat- 
ical Collection^'  and  were  in  large  part  the  gift  of  the  late  Hon.  William  Kelly ^ fortnerly  a 
Trustee  of  the  University, 


Bibliography. 

Babbage,  C.  [Catalogue  of  the]  mathematical 
and  scientific  library  of  C.  Babbage.  [London], 
1872.  80. 

Boston,  Mass. — Public  library.  List  of  mathe- 
matical works  added  to  the  Bowditch  collection. 
May,  1878.  Boston,  1878.  40. 

De  Morgan,  A.  Arithmetical  books  from  the 
invention  of  printing  to  the  present  time.  London, 
1847.  120. 

Brsch,  J.  S.  Literatur  der  Mathematik,  Natur- 
und  Gewerbs-Kunde  mit  Inbegriff  der  Kriegskunst 
seit  der  Mitte  des  achtzehnten  Jahrhunderts  bis  auf 
die  neueste  Zeit ; neue  fortgesetzte  Ausg.  von  F. 
W.  Schweigger- Seidel.  Leipzig,  1828.  8°. 

Holden,  B.  S.  A subject-index  to  the  publica- 
tions of  the  United  States  naval  observatory,  1845- 
75 : [including  the  observations  of  Capt.  J.  M. 
Gilliss  on  Capitol  hill  (1838-42)].  {Appended  to 
U.  S.  naval  observatory.  Wash.,  £>.  C.  As- 
tronom.  and  raeteorol.  observations  made  during 
1876;  1880,  40,  1.) 

Same,  separated.  Washington,  1879.  40. 

Libri-Carrucci  della  Sommaia,  G.  (B.  I. 
T.),  conte.  Catalogue  of  the  mathematical,  histor- 
ical, bibliographical  and  miscellaneous  portion  of  the 
celebrated  library  of  M.  Libri,  including  an  extraor- 
dinary collection  of  the  rarest  treatises  in  existence 
respecting  ancient  arithmetic,  algebra,  astronomy 
and  geometry,  with  a very  complete  and  unique 
series  of  works  relating  to  Galileo.  London,  [ 1861  ]. 
2 pt.  in  I V.  1.  80. 

With  a preface  by  Libri. 

Loffelholz-Colberg,  P.,  Freiherr -^cm.  Forst- 
liche  Chrestomathie.  i.  Abth. ; Grundwissenschaf- 
ten  der  Forstwissenschaft,  in  specie  dixo.  Literatur  der 
Mathematik  iiberhaupt  der  Geschichte  derselben, 
sowie  der  Arithmetik  und  Algebra.  Berlin,  1871. 
80. 

Murhard,  F.  W.  A.  Litteratur  der  mathema- 
tischen  Wissenschaften.  Leipzig,  1797-1805.  5 v. 

in  2.  80. 

Poggendorff,  J.  C.  Biographisch-literarisches 
Handwbrterbuch  zur  Geschichte  der  exacten  Wis- 
senschaften enthaltend  Nachweisungen  liber  Le- 
bensverhaltnisse  und  Leistungen  von  Mathemati- 
kern,  Astronomen,  Physikern,  Chemikern,  Minera- 


logen,  Geologen  u.  s.  w.  aller  Volker  und  Zeiten. 
Leipzig,  1863.  2 V.  1.  8®. 

Contents:—!  A-L.  — ii.  M-Z. 

Riccardi,  P.  Biblioteca  matematica  italiana 
dalla  origine  della  stampa  ai  primi  anni  del  secolo 
XIX.  Vol.  i.  fasc.  I,  2,  4.  Modena,  1870-72.  4®. 

Only  250  copies. 

Rogg,  J.  Handbuch  der  mathematischen  litera- 
tur vom  Anfange  der  Buchdruckerkunst  bis  zum 
Schlusse  des  Jahrs  1830.  i®  Abth.  welche  die  arith- 
metischen  und  geometrischen  Wissenschaften  ent- 
halt.  Tubingen,  1830.  8®. 

[Scheibel,  J.  E.]  Einleitung  zur  mathema- 
tischen Biicherkentnis.  I. -16.  Stuck.  Bresslau, 
1771-89.  3 V.  8®. 

Neue  Aufl.  in  part;  lacks  Stiick. 

Schumacher,  H.  C.  (Jatalogue  des  livres  et 
cartes  composant  la  bibliotheque  de  M.  Schumacher. 
I®  pt.  Berlin,  1855.  8®. 

Interleaved,  with  a few  MS.  additions. 

Contents  : — i.  Sciences  mathematiques,  physiques  et  natu- 
relles. 

United  States  — Engineer  department.  Ana- 
lytical and  topical  index  to.  the  reports  of  the  chief 
of  engineers  upon  works  and  surveys  for  river  and 
harbor  improvement  1866-79;  compiled  under  the 
direction  of  H.  M.  Robert.  Washington,  1881.  8®. 


DicTtionaries  and  Encyclopaedias. 

AUgemeine  Encyklopadie  der  Physik  heraus- 
gegeben  von  G.  Karsten.  i.,  ii.,  ix.,  xv.,  xix.-xxi. 
Bd.  Leipzig,  1860-69.  7 v.  8®. 

Contents : — i.  Einleitung  in  die  Physik  bearbeitet  von  G. 
Karsten,  F.  Harms  und  G.  Weyer.  1869. — ii.  Lehrbuch  der 
Krystallographie  von  H.  Karsten.  1861. — ix.  Handbuch  der 
physiologischen  Optik  bearbeitet  von  H.  Helmholtz.  1867.  — 
XV.  Handbuch  des  Magnetismus,  bearbeitet  von  J.  Lamont. 
1867.  — xix.  Die  Lehre  von  den  Fernewirkungen  des  galva- 
nischen  Stromes  bearbeitet  von  Frh.  v.  Feilitzsch.  1865.  — 
XX.  Handbuch  der  angewandten  Elektricitatslehre  bearbeitet 
von  C.  Kuhn.  1866. — xxi.  Lehrbuch  der  Meteorologie  bear- 
beitet von  E.  E.  Schmid,  i860,  and  Atlas  0/ 21  plates,  obi.  40. 

Appleton’s  dictionary  of  machines,  mechanics, 
engine- work,  and  engineering.  New  ed.  New 
York,  1873-74.  2 V.  1.  8®. 

Barlow,  P.  A new  mathematical  and  philosoph- 
ical dictionary ; comprising  an  explanation  of  the 
terms  and  principles  of  pure  and  mixed  mathematics, 
and  such  branches  of  natural  philosophy  as  are  sus- 


4 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


ceptiblc  of  mathematical  investigation;  with  histor- 
ical sketches  of  the  rise,  progress,  and  present  state 
of  the  several  departments  of  these  sciences.  Lon- 
don, 1814.  8®. 

Benjamin,  P.,  editor.  Appletons’  cyclopedia 
of  ap|)lied  mechanics:  a dictionary  of  mechanical 
engineering  and  the  mechanical  arts.  New  York, 
1880.  2 V.  1.  8®. 

Byrne,  O.,  and  E.  Spon.  Spons’  dictionary 
of  engineering,  civil,  mechanical,  military,  and 
naval ; with  technical  terms  in  French,  German, 
Italian  and  Spanish.  London,  etc,,  1874.  3 v.  1.  8®. 

For  the  supplement  see  Spon,  E. 

Davies,  C.,  and  W.  G.  Peck.  Mathematical 
dictionary  and  cyclopedia  of  mathematical  science ; 
comj)rising  definitions  of  all  the  terms  employed  in 
mathematics — an  analysis  of  each  branch,  and  of  the 
whole,  as  forming  a single  science.  New  York, 
etc. , 1 869.  8®. 

Encyclopaedia  metropolitana,  or  Universal  dic- 
tionary of  knowledge ; edited  by  E.  Smedley;  1st 
division,  pure  sciences.  Vol.  i.  London,  1829.  4®. 

Contents: — Introduction  (S.  T.  Coleridge),  Grammar  (Sir  J. 
Stoddart),  Logic,  Rhetoric  (R.  Whateley),  (icometry  (P.  Par- 
low),  Arithmetic  (G.  Peacock),  Algebra  and  Geometrical  analy- 
sis (D.  Lardner),  Theory  of  numbers  (P.  Harlow),  Trigonome- 
try (G.  B.  Airy),  Analytical  geometry  and  Conic  secuons  (H. 

P.  Hamilton),  Calculus  (A.  Levy). 

Encyclopedic  mdthodique  : Math^matiques  par 

D’Alembert,  Bossut,  De  la  Lande,  Condorcet, 
Charles,  &c.  Paris,  etc.,  1784-89.  3 v.  4®,  and 

108  plates  hi  I vol. 

Contents:  — i.  Preliminaire  (Bossut),  A-E. — ii.  F-R. — iii. 
S-Z,  Additions  et  corrections. 

Same.  Dictionnaire  des  jeux,  faisant  suite 

au  tome  iii.  des  Math^matiques.  Paris,  1792.  4®. 

Bd.  with  vol.  iii.  of  the  preceding. 

Forney,  M.  N.,  and  others.  The  car-builder’s 
dictionary  : an  illustrated  vocabulary  of  terms  which 
designate  American  railroad  cars,  their  parts  and 
attachments.  New  York,  1881.  obi.  16®. 

Gehler,  J.  S.  T.  Physikalisches  Worterbuch 
neu  bearbeitet  von  Brandes,  Gmelin,  Horner,  [Lit- 
trow],  Muncke,  Pfaff.  Leipzig,  1825-45.  ii  v.  in 
22.  8®. 

The  nth  vol.  is  a “Sach-  und  Namen-Register  mit  ergan- 
zenden  Zusatzen  von  G.  W.  Muncke,  nebst  Nachtragen  zum 
Verzeichniss  geographischer  Ortsbestimmungen  von  C.  L.  von 
Littrow.” 

Kupfer- Atlas  ; cclxxiii.  Kupfertafeln  nebst 

iv.  Charten  zu  dem  sechsten  und  ii.  Charten  zu  dem 
neunten  Bande.  Leipzig,  1842.  obi.  4®. 

Hoffmann,  L.  Mathematisches  Worterbuch; 
alphabetische  Zusammenstellung  sammtlicher  in  die 
mathematischen  Wissenschaften  gehdrender  Gegen- 
stande  in  erklarenden  und  beweisenden  synthetisch 
und  analitisch  bearbeiteten  Abhandlungen.  Berlin, 
1858-67.  7 V.  in  4.  8®. 

Vol.  v.-vii.  “von  L.  Natani”. 

Contents  : — i.  A-B.  — ii.  C-D.  — iii.  E-J.  — iv.  K-P.  — v. 

Q.  — vi.  R-S. — vii.  T-Z. 

Hutton,  C.  A philosophical  and  mathematical 
dictionary,  containing  an  explanation  of  the  terms, 
and  an  account  of  the  several  subjects  comprised 
under  the  heads  mathematics,  astronomy,  and  phi- 
losophy both  natural  and  experimental,  with  an  his- 
torical account  of  the  rise,  progress  and  present 
state  of  these  sciences.  A new  ed.  London,  1815. 
2 V.  4®. 

Contents: — i.  A-L. — ii.  M-Z. 

Kliigel,  G.  S.  Mathematisches  Worterbuch, 
Oder  ICrklarung  der  Begriffe,  Lehrsatze,  Aufgaben 
und  Mcthoflcn  der  Mathcmatik  mit  den  nothigen 
Beweisen  und  literarischen  Naclirichtcn  begleitct  in 
alphabetischer  Ordnung.  i®  Abth.  Die  rcine 
Matliemalik.  Leipzig,  1803-31.  5 v.  8®. 

'I  hc  fourth  vol.  h;ts  on  the  title  “fortgesetzl  von  C.  B.  Moll- 
weide  ” and  the  fifth  has  in  addition  “ beendigt  von  J.  A.  Gru- 
ncru” 


Contents:— \.  A-I).  — ii.  E-L-iii.  K-P.  — -iv.  O-S.  — v. 
T-Z. 

_ Sunjilcmcntc  zu  Klilgcl’s  Wdrlcrbuche  dor 

reinen  Mathcmatik,  herausgegeben  von  J.  A.  Gru- 
nert.  Leipzig,  i8ti-^6.  2 v.  8®. 

Contents:  — \.  A-I)  — Ii.  I>Z. 

Montferrier,  A.  8.  de.  Di(  tionn.airc  des 
sciences  mathdmatifitics  purcs  ct  apitlifiudes ; 2®  ^d. 
Paris,  1845.  3 V.  4®. 

Contcnts:  — \.  A-F..  — ii.  F-Z.  — iii.  A-Vol. 

Moore,  R.  'I'he  universal  assistant  and  com- 
plete mechanic;  containing  over  one  million  indus- 
trial facts,  calculations,  receipts,  etc.  New  York, 
1881.  8®. 

Moxon,  J.  Mathematicks  made  easie,  or  A 
mathematical  dictionary,  explaining  the  terms  of  the 
art,  and  difficult  phrases  used  in  arithmctick,  ge- 
ometry, astronomy,  astrology,  and  other  mathe- 
matical sciences.  2d  ed.,  corrected  and  much  en- 
larged by  H.  Coley.  London,  1692.  8®. 

Nichol,  J.  P.  A cyclopxdia  of  the  physical 
sciences,  comprising  acoustics,  astronomy,  dynamics, 
electricity,  heat,  hydrodynamics,  magnetism,  phi 
losophy  of  mathematics,  meteorology,  optics,  pneu 
matics,  statics,  etc.  3d  ed.  London,  1868.  8®. 

Ozanam,  J.  Dictionnaire  mathdmatique,  ou 
Id<^e  g^ndrale  des  mathdmatiques,  dans  Icqucl  sont 
contenus  les  termes  de  cette  science  avec  des  rai- 
sonnemens  qui  conduisent  peu  b.  peu  I’csprit  une 
connoissance  universelle  des  math^matiques.  Am- 
sterdam, 1691.  4®. 

Raiikiiie,  W.  J.  M.  The  cyclopaedia  of  ma- 
chine and  hand-tools ; a series  of  plans,  sections, 
and  elevations  of  the  most  approved  tools  for  work- 
ing in  iron,  wood,  and  other  materials  ; to  which 
are  added  an  essay  on  the  strength  and  qualities  of 
wood  and  metals  ; and  an  essay  on  the  puddling  of 
iron  by  St.  John  V.  Day.  London,  1869.  f®. 

Sonnet,  H.  Dictionnaire  des  math^matiques 
appliqu^es,  comprenant  les  principales  applications 
des  math^matiques  et  I’explication  d’un  grand 
nombre  de  termes  techniques  usit^s  dans  les  appli- 
cations. Paris,  1867.  1.  8®. 

Spon,  E.  Supplement  to  Spons’  dictionary  of 
engineering,  civil,  mechanical,  military  and  naval. 
London,  etc.,  1880-81.  3 v.  8®. 

Wilhelm,  T.  A military  dictionary  and  gazet- 
teer ; comprising  ancient  and  modern  military  tech 
nical  terms,  with  an  appendix  containing  the  articles 
of  war,  etc.  Revised  ed.  Philadelphia,  1881.  8®. 


History  and  Biography. 

Ameth,  A.  Die  Geschichte  der  reinen  Mathe- 
matik  in  ihrer  Beziehung  zur  Geschichte  der  Ent- 
wickelung  des  menschlichen  Geistes.  Stuttgart, 
1852.  8®. 

Baldi,  B.  Cronica  de  matematici  overo  Epitome 
dell’  istoria  delle  vite  loro.  Urbino,  1707.  4®. 

Barton,  W.  Memoirs  of  David  Rittenhouse, 
LL.D.  Philadelphia,  1813.  8®. 

Biot,  J.  B.  Essai  sur  I’histoire  generale  des 
sciences  pendant  la  revolution  fran9aise.  Paris, 
1803.  8®. 

Life  of  Sir  Isaac  Newton  [translated  from 

the  “Biographic  universelle”].  London,  1829.  8®. 

Published  under  the  superintendence  of  the  Society  for  the 
diffusion  of  useful  knowledge.  “List  of  the  editions  cf  New- 
ton’s works’’  at  end. 

Bolton,  H.  C.  The  book  of  the  balance  of 
wisdom : an  essay  on  determinations  of  specific 
gravity  by  the  Arabians  of  the  Xllth  century. 
New  York,  1876.  12®. 

Bossut,  J.  A general  history  of  mathematics 
from  the  earliest  times  to  the  middle  of 'the  eight- 


CORNELL  UNIVERSITY. 


5 


teenth  century,  translated  from  the  French;  to 
which  is  affixed  a chronological  table  of  the  most 
eminent  mathematicians.  London,  1803.  8^. 

Poggendorff  calls  him  Charles. 

Bowditch,  N.  I.  Memoir  of  Nathaniel  Bow- 
ditch,  by  his  son.  Boston,  1839.  40. 

Originally  printed  as  part  of  the  4th  volume  of  the  translation 
of  the  “Mecanique  celeste.”  With  portraits,  autograph  of  the 
author,  and  autograph  letter  of  N.  Bowditch.  _ 

Brewster,  SirTi.  The  life  of  Sir  Isaac  New- 
ton. New  York,  1835.  18®.  (Harper’s  fam.  lib., 

26.) 

Same.  With  an  account  of  the  inaugura- 
tion of  the  statue  at  Grantham.  London,  1861.  160. 

Memoirs  of  the  life,  writings  and  discover- 
ies of  Sir  Isaac  Newton.  Edinburgh,  etc..,  1855. 
2 V.  80. 

Buchan,  D.  Stewart,  earl  of,  and  W.  Minto. 

An  account  of  the  life,  writings  and  inventions  of 
John  Napier  of  Merchiston.  Perth,  1787.  40. 

Cantor,  M.  Mathematische  Beitrage  zum  Kul- 
turleben  der  Volker.  Halle,  1863.  8®. 

Colburn,  Z.  A memoir  of  Zerah  Colburn, 
written  by  himself,  containing  an  account  of  the  dis- 
covery of  his  remarkable  powers  ; with  his  peculiar 
methods  of  calculation.  Springfield,  1833.  120. 

Delambre,  J.  B.  J.  Rapport  historique  sur  les 
progres  des  sciences  mathematiques  depuis  1789  et 
sur  leur  etat  actuel,  pr^sente  a Sa  Majeste  I’empereur 
et  roi  le  6 fev.  1808.  Paris,  1810.  40. 

Dissertations  on  the  history  of  metaphysical 
and  ethical,  and  of  mathematical  and  physical 
science;  by  Dugald  Stewart,  Sir  J.  Mackintosh, 
J.  Playfair  and  Sir  J.  Leslie.  Edinburgh,  etc., 
1835.  4^. 

Drobisch,  M.  W.  De  loannis  Widmanni  Ege- 
rani  Compendio  arithmeticae  mercatorum  scientiae 
mathematicae  saeculi  xv.  simul  atque  artis  typo- 
graphicae  lipsiensis  insigni  monumento.  Lipsiae, 
1840.  40. 

Bkama,  C.  De  Frisia  ingeniorum  mathematico- 
rum  inprimis  fertili.  Leovardiae,  [1809].  40. 

Friedlein,  G.  Beitrage  zur  Geschichte  der 
Mathematik.  i.  PI  of,  [1868].  40. 

Gerhardt,  C.  I.  Etudes  historiques  sur  I’arith- 
metique  de  position.  Berlin,  [1856].  40. 

Gherardi,  S.  Eiiiige  Materialien  zur  Geschichte 
der  mathematischen  Facultat  der  alten  Universitat 
Bologna;  unter  Mitwirkung  des  Verfassers  in’s 
Deutsche  ubersetzt  von  M.  Curtze ; 2^  vermehrte 
Aufl.  des  italianischen  Originals.  Berlin,  1871.  8®. 

Gurlitt,  J.  Narratio  de  vita  P.  H.  C.  Brod- 
hagenii.  Hamburgi,  1806.  40. 

■■  Heilbronner,  J.  C.  Historia  matheseos  uni- 
versse  a mundo  condito  ad  seculum  P.  C.  N.  xvi. ; 
accedit  recensio  elementorum,  compendiorum  et 
operum  mathematicorura  atque  historia  arithmetices 
ad  nostra  tempora.  Lipsise,  1 742.  40. 

Kastner,  A.  G.  Geschichte  der  Mathematik 
seit  der  Wiederherstellung  der  Wissenschaften  bis 
an  das  Ende  des  achtzehnten  Jahrhunderts.  Got- 
tingen, 1796-1800.  4 V.  80. 

Contents: — i.  Arithmetik,  Algebra,  Elementargeometrie, 
Trigonometric,  praktische  Geometric,  bis  zum  Ende  des  sechs- 
zehnten  Jahrhunderts. — ii.  Perspectiv,  geometrische  Analysis 
und  hohere  Geometric,  Mechanik,  Optik,  Astronomic  bis  zum 
Ende  des  sechszehnten  Jahrhunderts,  Nachtrag  zum  ersten 
Bande. — iii.  Geschichte  der  reinen  Mathematik  von  1600  bis 
auf  Cartesius.  — iv.  Geschichte  der  mechanischen  Wissen- 
schaften vom  Anfange  des  siebenzehnten  Jahrhunderts. 

The  and  ^th  vol.  have  the  title:  — “Geschichte  der 
Kiinste  und  Wissenschaften,  etc.  Von  einer  Gesellschaft  ge- 
lehrter  Manner  ausgearbeitet.  7®  Abth.  Geschichte  der  Ma- 
thematik von  A.  G.  Kastner.  ” 

Leslie,  J.  A general  view  of  the  progress  of 
mathematical  and  physical  science  chiefly  during  the 
eighteenth  century.  [Edinburgh,  1835.]  4®. 

Libri-Carrucci  della  Sommaia,  G.  (B.  I.  T.), 


conte.  Plistoire  des  sciences  mathematiques  en 
Italie  depuis  la  renaissance  des  lettres  jusqu’i  la  fin 
du  dix-septi^me  siecle.  Paris,  1838-41.  4 v.  8®. 

Contents: — i.  Discours  preliminaire. — ii.  Livre  i.  De 
Charlemagne  a la  fm  du  156  siecle.  — iii.  Livre  2.  i6e  siecle. 
— iv.  1 7C  siecle. 

Montucla,  J.  E.  Histoire  des  mathematiques, 
dans  laquelle  on  rend  compte  de  leurs  progres  depuis 
leur  origine  jusqu’a  nos  jours.  Nouvelle  ed.  con- 
siderablement  augmentee.  Paris,  An  vii.-An  x. 
(1802).  4 V.  40. 

Author  wrongly  styled  on  title-page  J.  F. 

Contents:  — 1.  Au  commencement  du  17^  siecle. — ii.  17^ 
siecle. — iii.  i8e  siecle. — iv.  i8e  siecle  supplement;  achev^  et 
public  par  Jerome  de  la  Lande. 

Navarrete,  M.  F.  Disertacion  sobre  la  his- 
toria de  la  nautica  y de  las  ciencias  matematicas  que 
han  contribuido  k sus  progresos  entre  los  Espanoles ; 
obra  postuma.  Madrid,  1846.  sm.  40. 

Newton,  Sir  I.  Schools  of  ancient  philosophy. 
Life  of  Sir  Isaac  Newton.  London,  n.  d.  160. 

I'he  latter  half  of  the  vol.  is  devoted  to  the  biography  of 
Newton. 

Ofterdinger,  L.  F.  Beitrage  zur  Geschichte 
der  Mathematik  in  Ulm  bis  zur  Mitte  des  xvii.  Jahr- 
hunderts. Ulm,  1867.  40. 

Playfair,  J.  Dissertation  : exhibiting  a view  of 
the  progress  of  mathematical  and  physical  science 
since  the  revival  of  letters  in  Europe.  Pt.  ii.  Bos- 
ton, 1820.  80. 

Quetelet,  (L.)  A.  (J.).  Histoire  des  sciences 
mathematiques  et  physiques  chez  les  Beiges.  Bru- 
xelles, 1864.  80. 

Sciences  mathematiques  et  physiques  chez 

les  Beiges  au  commencement  du  xix®  siecle.  Bru- 
xelles, 1866.  8®. 

Rigaud,  S.  P.  Historical  essay  on  the  first 
publication  of  Sir  Isaac  Newton’s  Principia.  Ox- 
ford, 1838.  8®. 

Ruprecht, . Aphorismen  und  Beitrsege  zu 

der  Anschauungslehre  in  den  mathematischen  Wis- 
senschaften. Hersfeld,  1850.  40, 

Taylor,  W.  B.  A memoir  of  Joseph  Henry; 
a sketch  of  his  scientific  work.  2d  ed.  Washing- 
ton, 1880.  80. 

Valson,  C.  A.  La  vie  et  les  travaux  du  Baron 
Cauchy,  membre  de  I’academie  des  sciences ; avec 
une  preface  de  M.  Hermite.  Paris,  1868.  2 v.  in 

I.  80. 

Contends: — i.  Partle  historique. — ii.  Partie  scientifique. 

Vossius,  G.  J.  De  vniversje  mathesios  natvra 
& constitvtione  liber;  cui  subjungitur  chronologia 
mathematicorvm.  Amstelaedami,  1660.  40. 

a.  History  of  Algebra. 

Berckelmann,  J.  A.  C.  Historiae  criticae 
algebrae  delineatio.  Gottingae,  1830.  8Q. 

Bhascara  Acharya.  Bija  Ganita,  or  The  alge- 
bra of  the  Hindus,  by  E.  Strachey.  London, 
[1812].  40. 

Translated  from  the  Persian. 

b.  History  of  Arithmetic. 

Caiitzler,  R.  F.  B.  De  Graecorum  arithmetics. 
Gryphisvaldiae,  1832.  40. 

Delambre,  J.  B.  J.  De  I’arithmetique  des 
Grecs.  (^Appended  to  Archimedes.  (Euvres, 
traduites  par  F.  Peyrard,  etc.  1807,  40,  pp.  569-601.) 

Drobisch,  M.  W.  Ad  historiam  literariam 
arithmeticae  communis  symbolae.  [Lipsiae],  1840. 
40. 

c.  History  of  Astronomy. 

Brewster,  Sir  D.  The  martyrs  of  science ; or, 
The  lives  of  Galileo,  Tycho  Brahe,  and  Kepler. 
7th  ed.  London,  1870.  120. 


6 


WOAV^S  RE  LA  TING  TO  MA  THEM  A TICS. 


Curtze,  M.  Ueber  cinige  bis  jetzt  unbekanntc 
gedruckte  Schriften  des  D.  M.  Novara  da  Ferrara. 
[Konigsberg,  1870.]  8®. 

Delambre,  J.  B.  J.  Ilistoire  de  I’astronomie 
ancienne.  Paris,  1817.  2 v.  40. 

Contents  : — i.  Livres  i,  2.  — ii.  Livres  3-5. 

Plistoire  de  I’astronomie  du  moyen  age. 

Paris,  1819.  40. 

Histoire  de  I’astronomie  moderne.  Paris, 

1821.  2 V.  40. 

Contents  : — Rdformation  du  calendrier,  Copemic,  Rein- 
hold, Tycho  Brahe,  Werner,  Longomontanus,  Ursus  Dithmar- 
sus,  Bassanrin,  Juste  Byrge,  Kdpler,  Neper,  Briggs,  Galilde, 
Riccioli,  Scheiner,  Tarde,  Malapertius,  etc. — ii.  Rheticus,  Pitis- 
cus,  Clavius,  Snellius,  Mdtius,  Boulliaud,  Ward,  Descartes, 
Morin,  Riccioli,  Borelli,  Gassendi,  Mouton,  Vlacq,  Hevelius, 
Horrockes,  Wing,  Roberval,  Tacquet,  Mercator,  Huyghens, 
Gascoyne,  Crabtree,  Hook,  Picard,  Roenier,  La  Hire,  Cassini, 
etc. 

Ilistoire  de  I’astronomie  au  dix-huiti^me 

si^cle;  publiee  par  M.  Mathieu.  Paris,  1827.  40. 

[Driukwater-Bethune,  J.  E.]  Idfe  of  Kep- 
ler. London,  1830.  80.  (Society  for  the  diffu- 
sion of  useful  knowledge.  Library  of  useful 
knowledge. ) 

Dudley  observatory,  Albany,  N.  Y.  The 
Dudley  observatory.  [Newspaper  article  upon  the 
disagreement  between  the  board  of  trustees  on  the 
one  side,  and  Dr.  Gould  with  his  associates  of  the 
scientific  council  on  the  other  ; reviewing  the  “De- 
fence of  Dr.  Gould  by  the  scientific  council,”  and 
the  “Statement  of  the  trustees.”  (In  Boston  weekly 
messenger,  Sept.  15,  1858;  v.  48.) 

In  favor  of  the  trustees. 

Same.  [Two  newspaper  articles  upon  the 

controversy  between  the  trustees  and  the  scientific 
council  of  the  observatory;  in  favor  of  the  trustees.] 
(In  Boston  daily  advertiser.  Sept.  23,  27,  1858.) 

Inauguration  of  the  observatory,  Aug.  28, 

1856.  Albany,  1856.  8®. 

Contents  : — Hunt,  W.  Eulogy  on  the  Hon.  C.  E.  Dudley. 
— Gould,  B.  A.,yr.  Remarks. — Bache,  A.  D.  Remarks. — 
Dudley,  yl/rj.  Blandina.  Letter. — Everett,  Edward.  The 
uses  of  astronomy.  A discourse.  — Letter  and  schedule  of  the 
scientific  council. 

Same.  2d  ed.  Albany,  1858.  80. 

In  this  edition  after  Everett’s  discourse  the  “ Chronicle  of  the 
Dudley  observatory,  since  the  inauguration  ” is  substituted  for 
the  “ Letter  and  schedule  ” in  the  ist  ed. 

Scientific  council.  Defence  of  Dr.  Gould 

by  the  council  [Joseph  Henry,  A.  D.  Bache,  Ben- 
jamin Peirce].  Albany,  1858.  8®. 

Reviewed  in  the  of  the  trustees,”  1858,  80 ; also 

in  a newspaper  article  published  in  the  Boston  weekly  messen- 
ger, Sejjt.  15,  1858,  and  in  two  articles  published  in  the  Boston 
daily  (Advertiser,  Sept.  23,  27,  1858. 

Irustees.  'I'he  Dudley  observatory  and 

the  scientific  council. — Statement  of  the  trustees 
[relating  to  the  difficulties  in  connection  with  Dr.  B. 
A.  Gould].  Albany,  1858.  8®. 

Revit'vjed in  Gould,  B.  A.,jr.  Reply  to  the  ” Statement,” 
etc.  1859,  8"; — (Observer, A letter  to  the  majority 
of  the  trustees,  [1858?]  8'';  — Thacher,  G.  H.  A key 

to  the  “trustee's  \sic]  Statement,”  etc.  1858,  8«  ; — also  in  a 
riewsjjaijer  article  imblished  in  the  Boston  weekly  messenger. 
Sept.  15,  1858,  and  in  two  .articles  ittiblished  in  the  Boston  daily 
(uivertiscr.  Sept.  23,  27,  1858. 

'I’o  the  jjatrf>ns  and  friends  of  the  Dudley 

observaUtry.  [f 'iiciilar  announcing  the  acceptance 
by  I'rof.  < ).  M.  .Milchcl,  of  Cincinnali,  of  the  office 
of  director  of  llte  institution.  To  wliich  arc  ap- 
pended “ Infpiit  ics  coneerning  a charge  of  intercep- 
tion ” of  the  entire  edition  of  no.  121  of  I )r.  Gould’s 
A dronoinit  al  journal,  by  (.  I’alerson,  who  had  the 
charge  of  iireparing  and  directing  the  journal  for  the 
mail.  Albany,  1859.]  sin.  4". 

Ekama,  C.  De  nrignium,  qui  in  seienlia  as- 
tronontiea  faeli  sunt,  progressuum  fundatiientis,  a 
siiiiiniis  in  te  nial  hemal  it  .a  el  astronomita  viris, 
parlim  dccimo  sexto,  maxiinc  decimo  sejitimo  seciilo, 


jam  praecipue  jactis.  I.ugduni  Batavorum,  1823.  4”. 

Gebler,  K.  von.  Galileo  Galilei  und  die  rd- 
mische  Curie.  Stuttgart,  1876.  80. 

Gould,  B.  A..,jr.  An  address  in  commemoration 
of  Sears  Cook  Walker,  delivered  April  29,  1854. 
[Cambridge,  Mass.],  1^4.  80. 

— — The  Dudley  observatory.  An  address  to 
the  citizens  of  Albany,  and  the  donors  and  friends 
of  the  Dudley  observatory,  on  the  recent  proceedings 
of  the  trustees  [in  regard  to  Dr.  B.  A.  Gould,  the 
director]  ; from  the  committee  of  citizens  aj)pointed 
at  a meeting  held  in  Albany,  July  13,  1858.  Albany, 
1858.  80. 

Reply  to  the  “Statement  of  the  trustees” 

of  the  Dudley  observatory.  Albany,  1859.  8«. 

Report  to  the  Smithsonian  institution  on 

the  history  of  the  discovery  of  Neptune.  Washing- 
ton, 1850.  80. 

Hipler,  F.  Nikolaus  Kopernikus  und  Martin 
Luther,  nach  ermlandischen  Archivalien.  Brauns- 
berg,  1868.  80. 

Ideler,  (C.)  L.  Ilistorische  Untersuchungen 
fiber  die  astronomischen  Beobachtungen  der  Alten. 
Berlin,  1806.  8®. 

Untersuchungen  uber  den  Ursprung  und 

die  Bedeutung  der  Sternnamen ; ein  Beytrag  zur 
Cfeschichte  des  gestirnten  Ilimmels.  Berlin,  1809. 
80. 

Junge,  E.  F.  Aphorismen  aus  der  Geschichte 
der  griechischen  Astronomic  vor  Aristarchus  aus 
Samos.  Zeitz,  1830.  40. 

Lewis,  Sir  G.  C.  An  historical  survey  of  the 
astronomy  of  the  ancients.  London,  1862.  80. 

Loomis,  E.  The  recent  progress  of  astronomy, 
especially  in  the  United  States.  New  York,  1850. 
120, 

Same.  3d  ed.  New  York,  1856.  12®. 

Muller,  (F. ) Max.  On  ancient  FI indu  astron- 
omy and  chronology.  Oxford,  1862.  40. 

[Observer,  pseud.']  A letter  to  the  majority  of 
the  trustees  of  the  Dudley  observatory  [concerning 
the  controversy  between  the  trustees  and  the  scien- 
tific council  over  the  director  of  the  observatory. 
Dr.  B.  A.  Gould.  Albany?  1858?]  8®. 

Signed  “Observer;”  reviewing  the  “Statement  of  the 
trustees.” 

Prowe,  L.  (P. ).  [Andenken  des  Copernicus  bei 
der  Nachwelt.  Konigsberg],  n.  d.  8®. 

De  Nicolai  Copernici  patria.  Thoruni, 

i860.  80. 

Hat  Copernicus  Wasserleitungen  angelegt  ? 

[Konigsberg],  n.  d.  8®. 

Nicolaus  Copernicus  in  seinen  Beziehungen 

zu  dem  Herzoge  Albrecht  von  Preussen.  Thorn, 
1855.  80. 

[Sterbeort  und  Grabstatte  des  Copernicus. 

Konigsberg,]  n.  d.  80. 

Ueber  die  Abhringigkeit  des  Copernicus 

von  den  Gedanken  griechischer  Philosophen  und 
Astronomen.  Thorn,  1865.  8®. 

[Rothman,  R.  W.]  History  of  astronomy. 
Pt.  i.-iv.  London,  1832.  8«.  (Society  for  the 

diffusion  of  useful  knowledge.  Library  of 
useful  knowledge.) 

Sedillot,  L.  P.  E.  A.  Comtes  observations 
sur  (luehiues  jtoints  de  I’histoire  de  r.astronomie  et 
des  niathcinati<[ues  chez  les  Clrientaux.  Paris,  1863. 
8‘>. 

Thacher,  G.  H.  A key  to  the  “trustee’s  [.f/V] 
Statement.” — I, ('tiers  to  the  majority  of  the  trustees 
of  llu'  Dudley  observatory,  showing  the  misrepre- 
sentalions,  gaiblings  and  perversions  of  their  mis- 
statement [in  regard  to  Dr.  Ik  A.  Gould,  the 
director.  Alhany,  1 1858.  8«. 

j “ I'Vom  the  Allas  aiiu  argus.” 


CORNELL  UNIVERSITY. 


7 


Westphal,  J.  H.  Nikolaus  Kopernikus.  Kon- 
stanz, 1822.  80. 

d.  History  of  Calculus. 

Giesel,  (K. ) F.  Geschichte  der  Variationsrech- 
nung;  Theil.  Torgau,  1857.  40. 

Todhunter,  I.  A history  of  the  calculus  of 
variations  during  the  nineteenth  century.  Cam- 
bridge, [Eng.],  etc.,  1861.  80. 

e.  Biographies  of  Engineers. 

Smiles,  S.  James  Brindley  and  the  early  en- 
gineers. London,  1864.  8®. 

The  life  of  George  Stephenson  and  of  his 

son  Robert  Stephenson.  New  York,  1868.  8®, 

The  life  of  Thomas  Telford,  civil  engineer. 

A new  ed.  London,  1867.  8®. 

The  story  of  the  life  of  George  Stephen- 
son ; including  a memoir  of  his  son,  Robert  Stephen- 
son : a new  ed.  London,  1868.  8‘>. 

Stuart,  C.  B.  Lives  and  works  of  civil  and 
military  engineers  of  America.  New  York,  1871. 
80. 

f.  History  of  Geometry. 

Chasles,  M.  Geschichte  der  Geometrie,  haupt- 
sachlich  mit  Bezug  auf  die  neueren  Methoden ; aus 
dem  Franzosischen  iibertragen  durch  L.  A.  Sohncke. 
Halle,  1839.  80. 

Fiedler,  J.  A.  Zur  geometrischen  Analysis  der 
Griechen.  Leobschiitz,  1862.  40. 

Finger,  F.  A.  De  primordiis  geometriae  apud 
Graecos.  Heidelbergae,  1831.  8®. 

Gent,  K.  Notata  quaedam  de  geometris  Grae- 
corum. Liegnitz,  1864.  40. 

g.  History  of  the  Telegraph. 

Reid,  J.  D.  The  telegraph  in  America;  its 
founders,  promoters  and  noted  men.  New  York, 
1879.  80. 

Sabine,  R.  The  history  and  progress  of  the 
electric  telegi'aph,  with  descriptions  of  some  of  the 
apparatus.  3d  ed.  London,  1872.  12®. 

Taylor,  W.  B.  An  historical  sketch  of  Henry’s 
contribution  to  the  electro-magnetic  telegraph  ; with 
an  account  of  the  origin  and  development  of  Prof. 
Morse’s  invention.  Washington,  1879.  8®. 

From  the  Smithsonian  report  for  1878. 


Instruments. 

[Batchelder,  S.  ] The  balance  dynamometer. 
[Cambridge,  Mass.,  1873.]  8°. 

Grebel,  M.  W.  Ueber  Linsenglaser  mit  Riick- 
sicht  auf  ihre  Dicke.  Zeitz,  1843.  4*^- 

Mackay,  A.  The  description  and  use  of  the 
sliding  Gunter  in  navigation.  Aberdeen,  1802.  80. 

Peyrard,  F.  Miroir  ardent  par  le  moyen  du- 
quel  on  pent  reflechir  et  fixer,  sur  un  object  en  repos 
ou  en  mouvement,  les  rayons  solaires,  en  aussi 
grande  quantite  que  I’on  veut.  {Appended  to 
Archimedes.  CEuvres,  traduites  par  F.  Pey- 
rard, etc.  1807,  40,  pp.  537-568.) 

a.  Astronomical  Instruments. 

Bond,  G.  P.  On  the  new  form  of  the  achromatic 
object-glass  introduced  by  Steinheil.  Cambridge, 
[Mass.],  1863.  80. 

From  the  Proceedings  of  the  American  acad.  of  arts  and 
sciences,  vol.  vi. 

Chaucer,  Geoffrey.  The  treatise  on  the  as- 
trolabe, edited  with  notes  and  illustrations  by  A.  E. 
Brae.  London,  1870.  8®. 


Davis,  C.  H.,/r.  Chronometer  rates  as  affected 
by  change  of  temperature  and  other  causes.  Wash- 
ington, 1878.  {Appended  to  U.  S.  naval  observa- 
tory, JNash.,  D.  C.  Astronom.  and  metcorol.  ob- 
servations made  during  1875  ; 1878,  40,  v.  3.) 

Dollen,  J.  H.  W.  The  portable  transit  instru- 
ment in  the  vertical  of  the  pole  star,  translated  from 
the  original  memoir  by  C.  Abbe.  Washington, 
1870.  8‘>. 

Dolbear,  A.  E.  The  art  of  projecting : a man- 
ual of  experimentation  in  physics,  chemistry,  and 
natural  history  with  the  porte-lumiere  and  magic 
lantern.  Boston,  etc.,  1877.  80. 

Fockens,  G.  R.  Responsio  ad  quaestionem  as- 
tronomicam  “Tubi  culminatorii  varii  usus,  turn  in 
astronomia,  turn  in  geodesia,  exponantur  et  ex- 
emplis  illustrentur  ? ” [Ultr.  Traject  ?],  1837.  40. 

Harkness,  W.  Observations  to  determine  the 
error  of  the  Kessels  clock  at  Washington.  {Ap- 
pended to  U.  S.  naval  observatory,  Wash., 
D.  C.  Astronom.  and  meteorol.  observations  made 
during  1867;  1870,  40,  v.  1.  pp.  31-38.) 

Holden,  E.  S.  Investigation  of  the  objective 
and  micrometers  of  the  26-inch  equatorial  construct- 
ed by  Alvan  Clark  & sons.  {Appetided  to  U.  S. 
naval  observatory.  Wash.,  D.  C.  Astronom. 
and  meteorol.  observations  made  during  1877; 
1881,  40,  V.  1.) 

[Oughtred,  W.  ] The  description  and  use  of  the 
double  horizontal  dyal,  whereby  not  onely  the  hour 
of  the  day  is  shewn,  but  also  the  meridian  line  is 
found,  and  most  astronomical  questions  which  may 
be  done  by  the  globe  are  resolved;  whereunto  is 
added  the  description  6f  the  general  horological 
ring,  invented  and  written  by  W.  O.  London, 
1674.  sm.  80. 

Pujazon,  C.  Observations  to  determine  the 
error  of  chronometer  Frodsham  no.  2816  made  at 
Havana,  Cuba.  {Appended  to  U.  S.  naval  ob- 
servatory, Wash.,  D.  C.  Astronom.  and  meteorol. 
observations  made  during  1867;  1870,  40,  v.  1.  pp. 
39-54-) 

Uylenbroek,  P.  J.  Responsio  ad  quaestionem 
Quaenam  est  micrometrorum  in  tubis  astronomicis 
theoria?  Quinam  eorum  usus?  [Lugduni  Bata- 
vorum,  1821.]  40. 

[Yarnall,  M.,  and  others.  ] Instruments  and 
publications  of  the  United  States  naval  observatory, 
1845-76.  {Appended  to  U.  S.  naval  observatory. 
Wash.,  D.  C.  Astronom.  and  meteorol.  observa- 
tions made  during  1874;  1877,  40,  v.  1.) 

Contents  : — Nourse,  J.  E.  Founding  of  the  observaMry. 
(Condensed  from  appendix  iv.  of  the  volume  of  Observations 
for  1871.) — Yarnall,  M.  The  mural  circle ; the  transit  instru- 
ment ; the  prime-vertical  transit  instrument. — Eastman,  J.  R. 
The  9.6-inch  equatorial;  the  transit  circle.  — Holden,  E.  S. 
The  26-inch  equatorial. 

b.  Barometer. 

Belville,  J.  H.  A manual  of  the  oarometer. 
3d  ed.  London,  1858.  120. 

Guldberg,  C.  M.  Bemserkninger  om  Formelen 
for  Hoidemaaling  med  Barometer.  [Christiania], 
1872.  80. 

P.,  G.  W.  The  aneroid  barometer,  its  con- 
struction and  use.  New  York,  1878.  240.  (Van 

Nostrand’s  science  series,  35.) 

Williamson,  R.  S.  On  the  use  of  the  barom- 
eter ou  surveys  and  reconnaissances.  Pt.  i.,  ii. 
New  York,  1868.  2 pt.  40. 

Contetits  : — i.  Meteorology  in  its  connection  with  hypsome- 
try.  — ii.  Barometric  hypsometry. 

Eng.  papers  U.  S.  A.,  no.  15. 

Same.  Being  a compendium  without  plates 

of  no.  1 5 of  the  professional  papers  of  the  corps  of 
engineers.  Washington,  1878.  8®. 


8 


WORKS  RE  LA  TING  TO  MA  Til  EM  A TICS. 


c.  Geometric  Instruments. 

Foster,  S.  The  sector  altered,  and  other  scales 
added,  with  the  description  and  use  thereof,  and 
now  published  by  W.  L[eybourn].  London,  i66i. 
40. 

Bd.  w.  Gunter,  E. 

Heather,  J.  F.  A treatise  on  mathematical  in- 
struments, their  construction,  adjustment,  testing, 
and  use  concisely  explained.  9th  ed.  London, 
1869.  1 2®. 

d.  Nautical  Instruments. 

Borda,  J.  C.  Description  et  usage  du  cercle  de 
reflexion  avec  diflerentes  m^thodes  pour  calculer  les 
observations  nautiques.  Paris,  1787.  4®. 

e.  Theniiometer. 

Belville,  J.  H.  A manual  of  the  thermometer. 
London,  1850.  120. 

Martine,  G.  Essays  and  observations  on  the 
construction  and  graduation  of  thermometers.  2d 
ed.  Edinburgh,  1772.  12®. 


Periodicals. 

American  journal  of  mathematics  pure  and  ap- 
plied. Editor,  J.  J.  Sylvester,  i.-iii.  Baltimore, 
1878-80.  3 V.  40. 

To  be  continued. 

Analyst  (The) : a journal  of  pure  and  applied 
mathematics.  Edited  by  J.  E.  Hendricks.  Vol.  i.- 
vHi.  ; ix.  no.  1-3.  m.  b.  rn.  Jan.  1874-May, 
1882.  Des  Moines,  Iowa,  1874-82.  8 v.  and  3 

nos.  80. 

To  be  continued. 

Annalen  der  Physik,  angefangen  von  F.  A.  C. 
Gren,  fortgesetzt  von  L.  W.  Gilbert.  1799-1808. 
Halle,  1799-1808.  30  V.  80. 

The  title  is  changed  with  the  4th  vol.  (1800)  to  “Annalen 
der  Physik,  herausgegeben  von  L.  W.  Gilbert.”  Indexes  are 
found  in  vol.  3,  6,  12,  18,  24,  and  30. 

Same.  Neue  Eolge ; herausgegeben  von 

L.  W.  Gilbert.  1809-19;  [vol.  31-60  of  the  whole 
series].  Leipzig,  1809-19.  30  v.  8®. 

The  indexes  are  in  vol.  6 (36  of  the  whole  series),  12  (42), 
18  (48),  24  (54),  and  30  (60).  _ 

Annalen  der  Physik  und  der  physikalischen 
Chemie,  herausgegeben  von  L.  W.  Gilbert.  1819- 
24;  [vol.  61-76  of  the  whole  series].  Leipzig, 
1819-24.  16  V.  80. 

Annalen  dcr  Physik  und  Chemie,  herausgegeben 
zu  Berlin  von  J.  C.  Poggendorff.  1824-77;  [vol. 
77-236  of  the  whole  series].  Leipzig,  1824-77. 
160  V.  80. 

.Same.  Neue  Eolge,  Bd.  i.-xiii.  ; heraus- 
gegeben von  G.  Wiedemann.  1877-81  ; [vol.  237- 
249  of  the  whole  series].  Leipzig,  1877-81.  13  v. 

8'>. 

Sajne.  Erganzungsband,  i.-viii.  I^eipzig, 

1842-78.  8 V.  80. 

Nainen-  und  Sach-Regisler  zu  den  Biinden 

i.  bis  lx.,  bearbeilet  von  W.  Barentin.  Leiiizig, 
18.15.  8". 

'I  f»  vol.  77-1 3fj  of  flic  whole  series. 

Same.  Zu  den  baiulen  Ixi.  bis  xc.  und  den 

I-irg:inzungsb:iudcu  ii.  bis  iv.,  be.nrlieitet  von  W. 
Bareiil  ill.  L<-ip/.ig,  1854.  8“. 

'I'o  vfil.  137-1^6  of  llie  whole  .'-ries. 

Same.  7m  dm  riiiiidcn  xci.  bis  cxx.,  bcar- 

bfitet  von  W.  II.'irciitiM.  Leipzig,  1865.  8*’. 

'J  o vol.  \(q-  i<)fi  of  ihe  whole  sericH. 

I uiiclb.'ind  dein  I lerausgeber  j.  G.  I’oggcn- 

dorlf  zur  f eier  fiiiifzigjahrigen  Wirkens  gevvidiuet. 
Jxipzig,  1874.  8‘*. 


Namen-Register  zu  Band  i.  bis  cl.,  Ergan- 
zungsband i.  bis  vi.  nebst  Jubclband  und  Sach- 
Register  zu  Band  exxi.  bis  cl.,  hirganzungsband  v. 
und  vi.  nebst  Jubelband  bearbeitet  von  W.  Barentin. 
Nebst  einem  Anhange  von  J.  C.  J’oggendorff. 
Leipzig,  1875.  8«. 

'I  he  set  lacks  the  index  to  the  scries  edited  by  Gilbert  entitled 
“Sach-  und  Namenregistcr  iiber  Bd.  i.-lxxvi.  von  H.  Miillcr. 
Leipzig,  1826.  8".” 

Annales  de  mathematiques  pures  et  appliqu6es ; 
recueil  j)6riodique,  r^dig^  par  J.  D.  Gergonne  et  J. 
E.  Thomas-Lavern6de,  1810-31.  Nismes,  1810-31. 
21  V.  in  9.  40. 

Gergonne’s  name  alone  appears  after  vol.  ii.  See  Nouvelles 
annales. 

Aiiiiali  di  matematica  pura  ed  applicata  pubbli- 
cati  da  B.  Tortolini.  1858-65.  Roma,  1858-65. 

7 V.  in  6.  40. 

Same.  Diretti  da  F.  Brioschi  e L.  Cre- 
mona in  continuazione  degli  Annali  gi^  pubblicati 
in  Roma  dal  prof.  Tortolini.  i.-iii.  1867-70.  Mila- 
no, 1867-70.  3 V.  4«. 

Vol.  iv.  complete  unbound.  Vol.  v.  no.  1-3  (lacks  4) ; vol. 
vi.  no.  2-4  (lacks  i). 

Ailuali  di  scienze  matematiche  e fisiche  compilati 
da  B.  Tortolini.  i.-viii.  Roma,  1850-57.  8 v.  8«. 

Archiv  der  Mathcmatik  und  Physik  mit  beson- 
derer  Rucksicht  auf  die  Bedvirfnisse  der  Lehrer  an 
hohern  Unterrichtsanstalten,  herausgegeben  von  J. 
A.  Grunert.  i.-li.  Greifswald,  1841-70.  51  v.  8®. 

Inhaltsverzeichniss  zu  Theil  i.  bis  xxv. 

i.  Abth.  nach  den  Autoren  geordnet ; ii.  Abth. 
nach  der  Materie  geordnet.  Greifswald,  1858.  8«. 

Inhaltsverzeichniss  zu  Theil  xxvi.  bis  xl. 

i.  Abth.  nach  den  Autoren  geordnet ; ii.  Abth. 
nach  der  Materie  geordnet.  Greifswald,  1864.  80. 

Bd.  with  the  preceding. 

Archiv  der  reinen  und  angewandten  Mathematik 
herausgegeben  von  C.  F.  Hindenburg.  i^s  bis 
Heft.  Leipzig,  1795-1800.  3 v.  8^. 

Bulletin  de  bibliographie,  d’histoire  et  de  bio- 
graphic mathematiques  par  M.  Terquem.  Paris, 
1855-57-  3 V.  in  I.  8«.  _ 

Cambridge  and  Dublin  mathematical  journal 
(The);  edited  by  W.  Thomson  [and  N.  M.  Fer- 
rers]. Cambridge,  1846-54.  9 v.  80. 

Cambridge  miscellany  (The)  of  mathematics, 
physics  and  astronomy,  edited  by  B.  Peirce  [and  J. 
Lovering].  April-Oct.  1842.  No.  1-3.  Boston, 
1842.  8«. 

Correspondance  ,mathematique  et  physique 
publiee  par  MM.  Gamier  et  Quetelet.  Gand 
[Bruxelles],  1825-39.  ii  v.  8®. 

Beginning  with  vol.  iii.  it  is  edited  by  A.  Quetelet  and  pub- 
lished at  Brussels. 

Gentleman’s  mathematical  companion  (The) 
for  the  year  i798-[i826].  London,  1809-26.  5 v. 

120. 

In  part  2d  ed.  A general  title  in  vol.  i. 

Journal  de  mathematiques  pures  et  appliquees 
ou  Recueil  mensuel  de  m^moires  sur  les  diverses 
parties  des  mathematiques,  public  par  J.  Liouville. 
1836-55.  Paris,  1836-55.  20  V.  40. 

Same.  2^  serie.  1856-68.  Paris,  1856- 

68.  13  V.  4«. 

General  Index  to  first  scries  in  vol.  20. 

Journal  fiir  die  reine  und  angewandte  Mathe- 
matiU,  in  zwanglosen  Hcftcn,  herausgegeben  von  A. 
1..  Crellc.  1-91.  Herlin,  1826-81.  91  v.  4<>. 

yot.  have  0)1  the  iitle-pagc : — “Als  Fortsetzung  des 

von  A.  1..  t'relle  gogriindclen  Journals  lieiansgcgebcn  tinier 
Milwirknng  dor  llerren  Steiner,  Sehellbach,  Rummer,  Kro- 
neckcr,  Weierstrass  von  (.’.  W.  Borchanlt. ” The  iitie  0/ vol 
01  reath : — “ 1 1 eransgegeben  von  L.  Kronecker  und  Is. 
Weierstrass : Fortsetzung  des  von  A.  1,.  C'relle  mui  t'.  W. 
Ilorcliardt  lieransgegebcnen  Journals.”  General  inde.x  to  vols. 
i-po  in  vol.  50.  indices  also  in  vol.  60,  70,  80  and  90. 

To  be  con  tin  tied. 


CORNELL  UNIVERSITY. 


9 


Konigsberger  Archiv  fiir  Naturwissenschaft  und 
Mathematik,  von  F.  W.  Bessel,  K.  G.  Hagen,  W. 
H.  G.  Remer,  A.  F.  Schweigger  und  E.  F.  Wrede. 
ier  bd.  Kdnigsberg,  1812.  80. 

Leeds  correspondent  (The)  ; a literary,  mathe- 
matical & philosophical  miscellany ; edited  by  J.  Ry- 
ley.  Leeds  [London],  1815-23.  5 v.  120. 

No  title-page  to  last  vol.  Mathematical  department  edited 
by  J.  Whitley. 

Leipziger  Magazin  fiir  reine  und  angewandte 
Mathematik,  herausgegeben  von  J.  Bernoulli  und 
C.  F.  Hindenburg.  1786,  1787;  1788,  i,  2.  Leip- 
zig, 1 786-88.  2 V.  and  2 nos.  8®. 

London,  Edinburgh,  and  Dublin  philosophical 
magazine  and  journal  of  science  (The).  Conducted 
by  Sir  R.  Kane,  Sir  W.  Thomson,  and  W.  Francis. 
4th  series,  vol.  xlvii.-f. ; 5th  series,  i.-iv.  ; v.  no. 
28-32;  vi.-xii.  ; xiii.  78-80.  m.  Jan.  1874-April, 
1882.  London,  1874-82.  15  v.  and  8 nos.  8®. 

“A  journal  devoted  to  physics,  astronomy,  mechanics,  chem- 
istry, mineralogy,  and  the  allied  sciences.”  To  be  continued.* 

Mathematical  diary  (The),  containing  new  re- 
searches and  improvements  in  the  mathematics,  with 
collections  of  questions,  proposed  and  resolved  by 
ingenious  correspondents  ; in  quarterly  numbers  ; 
conducted  by  R.  Adrain.  New  York,  1825.  12®. 

Same.  Conducted  by  J.  Ryan ; vol.  ii. 

New  York,  1828-32.  12®. 

Mathematical  magazine  (The) : a journal  of 
elementary  mathematics.  Edited  by  A.  Martin. 
Vol.  i.  no.  I.  Jan.  1882.  q.  Erie,  Pa.,  1882.  4®. 

To  be  continued. 

Mathematical  miscellany  (The).  No.  i.-viii. 
New  York,  1836-39.  8®. 

No.  i.  in  MS. 

Mathematical  monthly  (The)  ; edited  by  J.  D. 
Runkle.  Cambridge,  1859-61.  3 v.  4®. 

Mathematical  repository.  New  series  of  the 
mathematical  repository,  by  T.  Leybourn.  i.-vi. 
London,  1806-32.  6 v.  8®. 

The  last  vol.  was  never  completed  and  has  no  title-page. 

Mathematical  visitor  (The).  Edited  by  A. 
Martin.  Vol.  i. ; ii.  no.  i.  Oct.  1878-Jan.  1882. 
a.  &=  s.  a.  Erie,  Pa.,  1878-82.  sm.  4®. 

Vol.  i.  no.  I is  “2d  ed.” 

To  be  continued. 

Mathematician  (The)  ; edited  by  T.  S.  Davies, 
W.  Rutherford  and  S.  Fenwick,  i.-iii.  London, 
1856.  3 V.  8®. 

New  title-pages  only.  Work  originally  publ.  from  Nov. 
1843  to  Sept.  1850.  The  last  two  vols.  do  not  have  Davies’s 
came. 

Mathematische  Annalen,  herausgegeben  von 
A.  Clebsch  und  C.  Neumann.  i.,  ii.  Leipzig, 
1869-70.  2 V.  8®. 

Vol.  ili.  no.  2 unb. 

Mathematisk  Tidsskrift  udgivet  af  H.  C.  F.  C. 
Schjellerup  og  C.  Tychsen.  Kjobenhavn,  1859- 
64.  6 V.  in  2.  8®. 

After  the  ist  vol.  Schjellerup’s  name  no  longer  appears.  For 
continuation  see  Tidsskrift  for  Mathematik. 

Northumbrian  mirror  (The),  or  Young  stu- 
dent’s literary  & mathematical  companion,  forming 
an  introduction,  to  the  Ladies’  diary,  &c.  Alnwick, 

1837-38.  2 V.  12®. 

Nouvelles  annales  de  math^matiques ; journal 
des  candidats  aux  6coles  poly  technique  et  normale, 
redig^  par  Terquem  et  Gerono.  Paris,  1842-61. 
20  V.  8®. 

From  vol.  14,  serie,  there  is  in  each  vol.  a “Bulletin  de  bl- 
bliographie,  d’histoire  et  de  biographie  mathematiques  ” with 
separate  pagination.  See  Bulletin. 

Same.  2®  serie.  Paris,  1862-81.  20  v.  8®. 

In  the  2d  series  vol.  ii.-vi.  r^dige  par  Gerono  et  Prouhet; 
vol.  vii.-x.  par  Gerono  et  J.  Bourget;  xi.-xx.  par  Gerono  et 
Brisse.  To  be  continued. 

Our  schoolday  visitor,  mathematical  almanac  and 
annual,  1871.  Philadelphia,  [1870].  4®. 


Quarterly  journal  (The)  of  pure  and  applied 
mathematics,  edited  by  J.  J.  Sylvester  and  N.  M. 
Ferrers.  Vol.  i.-x.  London,  1857-70.  10  v.  8®. 

Rensselaer  polytechnic  institute,  Troy, 
N.  Y.  Papers  read  before  the  Pi  Eta  scientific  so- 
ciety. 1878-80;  vol.  ii.  no.  1-3.  Troy,  1879-82. 
5 nos.  8®. 

Tidsskrift  for  Mathematik,  udgivet  af  C.  Tych- 
sen ; anden  Raekke.  Kjobenhavn,  1865-70.  6 v. 

in  I.  8®. 

For  first  series  see  Mathematisk  Tidsskrift. 

a.  Astronomical  Periodicals. 

Astronomical  journal  (The).  Edited  by  B.  A. 
Gould,  jr.  Vol.  i.-vi.  Nov.  1849-Feb.  1861. 
Cambridge,  etc.,  1851-61.  6 v.  4®. 

Astronomical  notices.  No.  28.  Ann  Arbor, 
1861.  8®. 

Sidereal  messenger  (The) ; a monthly  journal 
devoted  to  astronomical  science.  Edited  by  O.  M. 
Mitchel.  Cincinnati,  1846-48.  2 v.  4®. 


Problems. 

Cambridge  problems,  being  a collection  of  the 
printed  questions  proposed  to  the  candidates  for  the 
degree  of  bachelor  of  arts  at  the  general  examina- 
tions from  1801  to  1820  inclusive.  Cambridge, 
1821.  8®. 

[Cambridge]  mathematical  problems  and  exam- 
ples arranged  according  to  subjects,  from  the  senate- 
house  examination  papers,  1821  to  1836  inclusive, 
with  an  appendix  containing  the  senate-house  ques- 
tions for  1837.  Cambridge,  1837.  8®. 

[Campion,  W.  M.,  and'W.  Walton.]  Solu- 
tions of  the  problems  and  riders  proposed  in  the 
senate-house  examination  for  1857;  by  the  moder- 
ators and  examiners  ; with  an  appendix  containing 
the  examination  papers  in  full.  Cambridge,  1857. 
8®. 

Ceulen,  L.  van.  De  hondert  konstige  Vraage. 
4®.  ff.  26.  MS. 

Contains  36  problems  and  solutions. 

Christie,  J.  R.  A collection  of  elementary  test 
questions  in  pure  and  mixed  mathematics  with  an- 
swers, and  appendices  on  synthetic  division  and  on 
the  solution  of  numerical  equations  by  Horner’s 
method.  London,  etc.,  1866.  8®, 

Diarian  repository  (The),  or  Mathematical  reg- 
ister, containing  a complete  collection  of  all  the 
mathematical  questions  which  have  been  published 
in  the  Ladies’  diary  from  the  commencement  of  that 
work  in  1 704  to  the  year  1 760,  together  with  their 
solutions  fully  investigated,  according  to  the  latest 
improvements,  by  a society  of  mathematicians.  Lon- 
don, 1774.  4®. 

Dodson,  J.  The  mathematical  repository,  con- 
taining analytical  solutions  of  near  five  hundred 
questions,  mostly  selected  from  scarce  and  valuable 
authors,  designed  as  examples  to  Mac-Laurin’s  and 
other  elementary  books  of  algebra  and  to  conduct 
beginners  to  the  more  difficult  properties  of  num- 
bers. 2d  ed.  London,  1775.  12®. 

Same.  Vol.  ii.  containing  algebraical  solu- 
tions of  a great  number  of  problems,  in  several 
branches  of  the  mathematics.  i.  Indetermined 
questions,  solved  generally  by  an  elegant  method 
communicated  by  Mr.  De  Moivre ; ii.  Many  curious 
questions  relating  to  chances  and  lotteries  ; iii.  A 
great  number  of  questions  concerning  annuities  for 
lives,  and  their  reversions.  London,  1753.  i^®. 

Sa??ie.  Vol.  iii.  containing  analytical  solu- 
tions of  a great  number  of  the  most  difficult  prob- 


lO 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


lems  relating  to  annuities,  reversions,  survivorships, 
insurances  and  leases  dependent  on  lives.  London, 
1755.  12®. 

Ferrers,  N.  M.,  and  J.  S.  Jackson.  Solu- 
tions of  the  Cambridge  senate-house  problems  for 
four  years,  1848-51.  Cambridge,  1851.  8®. 

Ghetaldi,  M.  Variorum  problematum  collectio. 
Venetiis,  1607.  4®. 

Bd.  with  Ghetaldi’s  edition  of  Apollonius  PergcBus. 

Goodwin,  H.  Problems  and  examples,  adapted 
to  the  “ Elementary  course  of  mathematics.”  3d  ed. 
revised,  with  additional  examples  in  conic  sections 
and  Newton,  by  T.  G.  Vyvyan.  Cambridge,  1862. 
8®. 

Hutt,  W.  W.  Solutions  of  Goodwin’s  Collec- 
tion of  problems  and  examples.  3d  ed.  revised 
and  enlarged  by  T.  G.  Vyvyan.  Cambridge,  1863. 
8®. 

Jameson,  F.  J.  The  principles  of  the  solution 
of  senate-house  “Riders”  exemplified  by  the  solu- 
tion of  those  proposed  in  the  earlier  parts  of  the 
examinations  of  the  years  1848-51.  Cambridge, 
1851.  8®. 

Le  Cointe,  I.  L.  A.  Solutions  d^velopp^es  de 
300  problemes  qui  ont  ete  proposes  dans  les  compo- 
sitions mathematiques  pour  I’admission  au  grade  de 
Bachelier  es  sciences.  Paris,  1865.  8®. 

Leybourn,  T.  The  mathematical  questions 
proposed  in  the  Ladies’  diary  and  their  original 
answers,  with  some  new  solutions,  from  its  com- 
mencement in  1704  to  1816.  London,  1817.  4 V.  8®. 

i.  1707-^— 1747-8. —ii.  1748-9—1775-6.-111.  1776-7  — 

1801-2. — iv.  1802-3 — 1815-16,  appendix. 


Lonchampt,  A.  Recueil  de  problemes  poses 
dans  les  examens  d’admission  a I’ecole  imperiale 
technique.  Enonc^s  et  solutions.  Paris,  1865. 


Recueil  de  probRmes  tir^s  des  compositions 

donn^es  a la  Sorbonne  de  1853  a 1875  pour  les  bac- 
calaur^ats  ^s  sciences.  2®  6d.  Paris,  1876-77. 
3 V.  12®. 

Contents:  — i.  Arithmetique,  algebre,  trigonometrie. — ii. 
Geometric. — ill.  Approximations  numeriques,  maxima  et  mini- 
ma, courbes  usuelles,  geometric  descriptive,  cosmographie, 
mecanique. 


[Mathematical  examination  papers  given  out 
in  the  Royal  naval  college,  Woolwich,  1839-51.] 
«./>.,  1839-51.  3 V.  f®. 

The  vols.  contain  one  paper  of  an  earlier  date  (1831),  some 
in  MS.  and  one  of  King’s  college,  London. 

Morgan,  H.  A.  A collection  of  problems  and 
examples  in  mathematics,  selected  from  the  Jesus 
college  examination  papers.  Cambridge,  1858.  8®. 

Reidt,  . Themata  zu  mathematischen  Ar- 

beiten  fiir  Schuler.  . llamm,  1862.  4®. 

Schellbach,  K.  H.  Mechanische  und  mathe- 
matische  Probleme.  Berlin,  1845.  4®. 

Schmidt,  J.  Eine  Auswahl  von  Aufgaben  aus 
des  Diophant  arithmetischen  Problemen.  [Strau- 
bing,  1858.]  4®. 

[Walton,  W.,  and  C.  F.  Mackenzie.]  Solu- 
tions of  the  problems  and  riders  proposed  in  the 
senate-house  examination  for  1854;  by  the  modera- 
tors and  examiners ; with  an  appendix  containing 
the  examination  papers  in  full.  Cambridge,  1854. 
8®. 

[Walton,  W.,  and  M.  M.  U.  Wilkinson.] 
Solutions  of  the  problems  and  riders  proposed  in  the 
senate-house  examination  for  1864;  by  the  modera- 
tors an(l  examiners  ; with  an  appendix  containing 
the  examination  papers  in  full.  Cambridge,  1864. 
8®. 

Watson,  H.  W.,  and  E.  J.  Routh.  Cam- 
bridge senate-house  problems  and  riders  for  the 
year  i860  with  solutions.  Cambridge,  i8'6o.  8®. 

Wolstenholme,  J.  A book  of  mathematical 


problems  on  subjects  included  in  the  Cambridge 
course.  London,  etc.^  1867.  8®. 

Wright,  I.  M.  F.  Solutions  of  the  Cambridge 
problems  from  1800  to  1820.  London,  1825.  2 v. 

8^. 

Contents : —X.  Geometry,  arithmetic,  algebra,  trigonometry, 
differentials,  integrals,  finite  differences,  finite  integrals,  .series, 
probabilities,  miscellanies.  — ii.  Curves,  mechanics,  hydrostat- 
ics, hydrodynamics,  pneumatics,  optics,  astronomy,  miscella- 
nles. 

Wrigley,  A.  A collection  of  examples  and 
problems  in  pure  and  mixed  mathematics,  with  an- 
swers and  occasional  hints.  7th  ed.  corrected. 
London,  1865.  8®. 

Platts,  J.,  and  A.  Wrigley.  A companion  to 
Wrigley’s  Collection  of  examples  and  problems, 
being  illustrations  of  matheraatical  processes  and 
methods  of  solution.  Cambridge,  1861.  8®. 

a.  A Igebraic  Problems. 

Bland,  M.  Algebraical  problems,  producing 
simple  and  quadratic  equations,  with  their  solutions ; 
designed  as  an  introduction  to  the  higher  branches 
of  analytics  : to  which  is  added  an  appendix,  con- 
taining a collection  of  problems  on  the  nature  and 
solution  of  equations  of  higher  dimensions.  9th  ed. 
with  considerable  additions.  London,  1849.  8®. 

A key  to  Bland’s  Algebraical  problems  con- 
taining the  solutions  of  all  the  equations  and  prob- 
lems in  the  appendix  to  the  4th  ed.  London,  1827. 
8®. 

Colburn,  W.  A key  containing  the  answers  to 
the  examples  in  the  introduction  to  algebra  upon  the 
inductive  method  of  instruction.  Boston,  1838.  12®. 

Hohr,  D.  Algebraische  Aufgaben.  hlermann- 
stadt,  1869.  8®. 

Jones,  C.  A.,  and  C.  H.  H.  Cheyne.  Alge- 
braical exercises  progressively  arranged.  New  ed. 
London,  ele.  1867.  18®. 

Rotherham,  "W.  The  algebraical  equation  and 
problem  papers,  proposed  in  the  examinations  of 
St.  John’s  college,  Cambridge,  from  1794  to  the 
present  time,  with  answers.  Cambridge,  i%2.  8®. 

b.  Arithmetical  Problems. 

Dalton,  T.  Arithmetical  examples  progressively 
arranged,  with  miscellaneous  exercises  and  examina- 
tion papers.  London,  etc.,  1866.  18®. 

Problemata  arithmetica,  e codice  MS.  Cizensi 
primum  edidit  R.  Hoche  ; accedunt  eiusdem  codicis 
scholia  ad  Nicomachi  institutionem  arithmeticam. 
Wetzlar,  1863.  4®. 

Ray,  J.  3000  test  examples  in  arithmetic ; drill 
exercises  for  review.  Cincinnati,  [1862].  sm.  8®. 

Sonnet,  H.  Problemes  et  exercices  d’arithm6- 
tique  et  d’algebre  sur  les  principales  questions  usu- 
elles relatives  au  commerce,  a la  banque,  aux  fonds 
publics,  aux  ^tablissements  de  pr^voyance,  a I’in- 
dustrie,  aux  sciences  appliquees,  etc.  Paris,  1858. 
2 V.  8®. 

Contents  : — i.  £nonc6s.  — ii.  Solutions  raisonn4es. 

c.  Problems  in  Calculus. 

Gregory,  D.  F.  Examples  of  the  processes  of 
the  differential  and  integral  calculus.  2d  ed.,  edited 
by  W.  Walton.  Caml:)ridge,  1846.  8®. 

Haddon,  J.  Examples  and  solutions  in  the  dif- 
ferential calculus.  London,  1851.  12®. 

Hann,  J.  Examples  on  the  integral  calculus. 
Louflon,  1850.  12®. 

Hirsch,  M.  Collection  of  examples,  formulae 
& calculations  on  the  literal  calculus  and  algebra ; 
translated  from  the  German  by  J.  A.  Ross.  Lon- 
don, 1827.  8®. 


CORNELL  UNIVERSITY. 


I r 


Peacock,  Cr.  A collection  of  examples  of  the 
applications  of  the  differential  and  integral  calculus. 
Cambridge,  1820.  8®. 

Sohncke,  L.  A.  Sammlung  von  Aufgaben  aus 
der  Differential-  und  Integralrechnung ; 3©  Aufl. 

herausgegeben  von  E.  Heis.  Halle,  1865.  2 v. 

in  I.  8®. 

Contents: — i.  Differentialrechnung. — ii.  Integralrechnung. 

d.  Geometric  Problems. 

Amiot,  A.,  et  A..  Desvignes.  Solutions  raison- 
n^es  des  probl^mes  ^nonces  dans  les  Elements  db 
g^ometrie  de  A.  Amiot,  et  pr^cedees  de  quelques 
observations  sur  la  resolution  des  problemes  de  ge- 
ometrie.  Paris,  1858.  8®. 

Angeli,  S.  degli.  Problemata  geometrica  sex- 
aginta,  circ^  conos,  sphseras,  superficies  conicas, 
sphgericasque  prsecipu^  versantia.  Venetiis,  1658. 
4®-  . 

Bd.  with  dupl.  of  same  author’s  “De  infinitis  parabolis.” 

Bland,  M.  Geometrical  problems  deducible 
from  the  first  six  books  of  Euclid,  arranged  and 
solved.  4th  ed.  London,  1842.  8®. 

Catalan,  E.  Theoremes  et  problemes  de  ge- 
ometrie  eiementaire : 6©  ed.  Paris,  1879.  8®. 

Gaskin,  T.  The  solutions  of  geometrical  prob- 
lems, consisting  chiefly  of  examples  in  plane  co-or- 
dinate geometry,  proposed  at  St.  John’s  college, 
Cambridge,  from  Dec.  1830  to  Dec.  1846,  with  an 
appendix  containing  several  general  properties  of 
curves  of  the  second  order,  and  the  determination 
of  the  magnitude  and  position  of  the  axes  of  the 
conic  section  represented  by  the  general  equation  of 
the  second  degree.  Cambridge,  etc.,  1847.  8®. 

Petersen,  J.  M^thodes  et  theories  pour  la  reso- 
lution des  problemes  de  constructions  g^ometriques 
avec  application  plus  de  400  problemes : traduit 
par  O.  Chemin.  Paris,  etc.,  1880.  8®. 

Schenk,  J.  Einige  Aufgaben  fiber  Anwendung 
der  Algebra  und  Trigonometric  zur  Lbsung  und 
Construction  geometrischer  Aufgaben.  Wien,  1869. 
8®. 

Sluse,  R.  F.  de.  Mesolabivm  seu  duse  medioe 
proportionates  inter  extremas  datas  per  circulum 
et  per  infinitas  hyperbolas  vel  ellipses  et  per  quam- 
libet  exhibitae  ac  problematum  omnium  solidorum 
effectio  per  easdem  curvas ; accessit  pars  altera  de 
analyst  et  miscellanea.  Leodii  Eburonum,  1668.  4®. 

Speidell,  J.  A geometricall  extraction,  or  a 
compendiovs  collection  of  the  chiefe  and  choyse 
problemes,  collected  out  of  the  best  and  latest 
writers ; vvherevnto  is  added  about  30.  problemes 
of  the  authors  inuention.  London,  1017.  4®. 

Twysden,  J.  Problematum  quorundam  mathe- 
maticorum  (De  triangulis  tain  rectangulis  quam  ob- 
liquangulis)  analytica  solvtio  et  constructio.  Certain 
mathematical  problems,  (concerning  triangles  as 
well  oblique  as  rectangled),  analytically  resolved  and 
effected.  JL.ondini,  1059.  f®. 

Walton,  W.  Problems  in  illustration  of  the 

rinciples  of  plane  coordinate  geometry.  Cam- 

ridge,  etc.,  1851.  8®. 

Warren,  S.  E.  General  problems  from  the 
orthographic  projections  of  descriptive  geometry, 
with  their  applications.  New  York,  1868.  8®. 

e.  Problems  in  Mechanics,  Physics,  etc. 

Kries,  F.  (C.).  Sammlung  physikalischer  Auf- 
gaben nebst  ihrer  Auflbsung.  Jena,  1843.  8®. 

Walton,  W.  A collection  of  problems  in  il- 
lustration of  the  principles  of  theoretical  hydrostatics 
and  hydrodynamics.  Cambridge,  etc.,  1847.  8®. 


A collection  of  problems  in  illustration  of 

the  principles  of  theoretical  mechanics.  2d  ed. 
Cambridge,  etc.,  1855.  8®. 

f.  Trigonometrical  Problems. 

Gaskin,  T.  Solutions  of  the  trigonometrical 
problems,  proposed  at  St.  John’s  college,  Cam- 
bridge, from  1829  to  1846.  Cambridge,  etc.,  1847. 
8®. 

Tables,  Formulae  and  Ephemerides. 

(See  also  Annuities  and  Logarithms.  J - 

Barlow,  P.  Tables  of  squares,  cubes,  square 
roots,  cube  roots,  reciprocals  of  all  integer  numbers 
up  to  10,000.  Stereotype  ed.  examined  and  correct- 
ed [by  A.  De  Morgan].  London,  1866.  sm.  8®. 

Under  the  superintendence  of  the  society  for  the  diffusion  of 
useful  knowledge. 

Bernoulli,  J.  A sexcentenary  table,  exhibiting 
at  sight  the  result  of  any  proportion,  where  the 
terms  do  not  exceed  600  seconds  or  10  minutes, 
with  precepts  and  examples ; published  by  order  of 
the  commissioners  of  longitude.  London,  1779. 
4®. 

Centnerschwer,  J.  J.  Neu  erfundene  Multi- 
plikations-  und  Quadrat-  Tafeln  mit  einer  Vorrede 
von  J.  P.  Grfison  und  L.  Ideler.  Berlin,  1825.  8®. 

Hinkley,  E.  Tables  of  the  prime  numbers,  and 
prime  factors  of  the  composite  numbers,  from  i to 
100,000.  Baltimore,  1853.  8®. 

Hoiiel,  J.  Recueil  de  formules  et  de  tables 
numeriques  : 2©  ^d.  Paris,  1868.  8®. 

Contents: — Introduction:  Dispo.sition  et  usage  des  tables. 

— Formules  relatives  au.x  functions  hyperboliques.  — Formules 
relatives  au.v  functions  elliptiques.  — Applications  numeriques 
des  fonctions  elliptiques. — Table  i.  Logarithmes  vulgaires  ou 
ddcimaux  des  2000  premiers  nombres.  — 2.  Antilogarithmes.  — 
3.  Logarithmes  d’addition  et  de  soustniction. — 4.  Logarithmes 

I 

du  rapport  . — 5.  Table  abr^g^e  pour  le  calcul  des  loga- 

I — X 

rlthmes  vulgaires  h 15  ddcimales.  — 6.  Logarithmes  naturels  ou 
hyperboliiiues  a 4 ddcimalcs.  — 7.  Table  abreg^e  pour  le  calcul 
des  logarithmes  naturels  h 20  d^cimales.  — 8.  Tables  de  con- 
version des  logarithmes  naturels  en  logarithmes  vulgaires,  et  des 
parties  decimales  du  rayon  en  parties  decimales  du  quadrant, 

I 2 7t 

et  r^ciproquement,  ou  tables  des  multiples  de  M,  — , — , — . 

M 7t  2 

— 9.  Valeurs  naturelles  des  fonctions  circulaires,  h 4 d6cim.ales, 
de  15'  en  15'  d’arc,  ou  de  minute  en  minute  de  temps.  — 10. 
Logarithmes  des  fonctions  circulaires,  k 4 decimales,  de  minute 
en  minute  jusqu’h  loc/,  et  de  10'  en  10'  pour  le  reste  du 
quadrant.  — ii.  Logarithmes  des  fonctions  circulaires  a 4 
decimales  de  C en  6'  ou  de  dixieme  en  dixierne  de  degrd.  — 
12.  Valeurs  naturelles,  h 3 decimales,  des  fonctions  circulaires, 
pour  chaque  centiime  du  quadrant,  avec  la  conversion  des  par- 
ties decimales  du  quadrant  en  parties  sexag^simales.  — 13. 
Logarithmes  des  fonctions  circulaires  i 3 decimales,  de  centleme 
en  centieme  du  quadrant,  et  h 4 decimales  de  millieme  en  mil- 
lleme  du  quadrant.  — 14.  Valeurs  naturelles  et  logaritlnnuiues 
des  fonctions  circulaires  et  hyperbolupies,  pour  des  arcs  crois- 
sant de  millieme  e:i  millieme  du  (luadrant. — 15.  Valeurs  natu- 
relles des  fonctions  circulaires  a 10  decimales.  — 16.  'Fables  de 
fonctions  elliptiques.  — 17.  T.ables  de  di verses  transcendantes. 
-—18.  Table  des  carrds  a 4 decimales  des  nombres  depuis  0,000 
jusqu’k  1,200.  — ly.  'Fables  de  puis.sances. 

Mackay,  A.  A collection  of  mathematical 
tables.  London.  1804.  8®. 

a.  Astronomical  Tables. 

( Including  Ephemeriiles.) 

American  ephemeris  (The)  and  nautical  almanac 
published  by  authority  of  the  secretary  of  the  navy, 
*^55-57,  ’59-70,  ’72-75.  ’77-^3-  Washington, 
1852-82.  26  V.  8®. 

Colby,  H.  T he  improved  nautical  almanac,  or 
True  navigator,  astronomically,  mathematically,  and 
mechanically  arranged.  New  York,  1859.  8®. 


12 


WORJCS  RE  LA  TING  TO  MA  THEM  A TICS. 


Ephemerides  of  the  minor  planets.  London, 
1864.  80. 

Suppl.  to  the  nautical  almanac  for  1868. 

[Gerling, .]  Tabulae.  [Marburgi],  n.  d. 

4°- 

Halley,  E.  Tabulae  astronomicae,  accedunt  de 
usu  tabularum  praecepta.  Londini,  1 749.  40. 

Hill,  G.  W.  Tables  of  Venus,  prepared  for  the 
use  of  the  American  ephemeris  and  nautical  almanac. 
Washington,  1872.  40. 

Nautical  almanac  (The)  and  astronomical 
ephemeris  published  by  order  of  the  commissioners 
of  longitude,  1767-1885.  London,  1766-1881.  1 19 

V.  in  71.  8°. 

With  the  year  1833  the  commissioners  of  the  admiralty  be- 
came the  publishers.  The  years  1803-12  are  the  American  edi- 
tion “ carefully  revised  by  J.  Garnett”  and  published  at  New 
Brunswick,  N.  J. ; the  years  1813-33  New  York  reprint 

of  E.  M.  Blunt,  mostly  styled  “ Blunt’s  edition  of  the  nautical 
almanac,”  of  which  1825-26  are  “carefully  examined  by  D. 
Stansbury”  and  1829  “ examined  by  E.  C.  Ward.” 

Peirce,  B.  Tables  of  the  moon ; constructed 
for  the  use  of  the  American  ephemeris  and  nautical 
almanac.  Published  by  authority  of  the  secretary 
of  the  navy.  Washington,  1865.  40. 

Schubert,  E.  Tables  of  Eunomia  computed 
for  the  American  ephemeris  and  nautical  almanac. 
Washington,  1866.  40. 

Tables  of  Idarmonia  computed  for  the 

American  ephemeris  and  nautical  almanac.  Wash- 
ington, 1869.  40. 

Tables  of  Melpomene  computed  for  the 

American  ephemeris  and  nautical  almanac.  Wash- 
ington, i860.  40. 

Tables  of  Parthenope,  computed  for  the 

American  ephemeris  and  nautical  almanac.  Wash- 
ington, 1871.  40. 

Tables  to  facilitate  the  reduction  of  places  of  the 
fixed  stars  prepared  for  the  use  of  the  American 
ephemeris  and  nautical  almanac.  [Washington], 
1869.  80. 

Winlock,  J.  Tables  of  Mercury  for  the  use  of 
the  American  ephemeris  and  nautical  almanac. 
Washington,  1864.  40. 

b.  FormulcB. 

Bierens  de  Haan,  D.  Nouvelles  tables  d’intd- 
grales  definies.  Leide,  1867.  40. 

Hirsch,  M.  Integral  tables,  or  A collection  of 
integral  formulae ; translated  from  the  German  [by 
J.  A.  Ross].  London,  etc.^  1823.  8®. 

c.  Heat  Tables. 

Clarke,  F.  W.  The  constants  of  nature.  Pt. 
iii.  : tables  of  expansion  by  heat  for  solids  and 
liquids.  Washington,  1876.  8®.  (Smithsonian 

Miscellaneous  collections.) 

d.  Logarithmic  Tables 

( wholly  or  in  part  logarithmic.} 

Babbage,  C.  Table  of  the  logarithms  of  the 
natural  numbers  from  i to  108,000.  4th  impression. 
London,  1844.  8«. 

[Briggs,  H.  An  epitomy  of  Briggs’  logarithms, 
with  several  other  useful  tables.  London,  1679?] 
I2». 

'J'itlc  wanting.  Bd.  with  Moore’s  Math.  compe7iciium. 
Appended  is,  with  separate  title: — “A  table  of  artificial  sines 
and  t^^ngcnts,  for  every  degree  and  minute  of  the  quadrant, 
fitted  to  tlie  size  of  the  logarithms.  London,  1679.  12®.” 

Callet,  F.  'I'ables  portatives  de  logarithmes 
contenant  les  logarithmes  des  nombres  depuis  i 
jusqu’^i  108,000  les  logarithmes  des  sinus  et  des  tan- 
gentes  de  seconde  en  seconde  pour  les  cinq  premiers 


degr^s  de  dix  en  dix  secondes  pour  tous  les  degr^s 
du  quart  de  cercle,  prec^dees  d’un  discours  pr^- 
liminaire  sur  I’explication,  Pusage  et  la  sommation 
des  logarithmes;  entierement  revues  et  corrig^es 
par  M.  Saigey,  Paris,  1866.  8®. 

Galbraith,  W.  Mathematical  and  astronomical 
tables  preceded  by  an  introduction  containing  the 
construction  of  logarithmic  and  trigonometrical 
tables,  plane  and  spherical  trigonometry,  their  ap- 
plication to  navigation,  astronomy,  surveying  and 
geodetical  operations.  2ded.  Edinburgh,  1834.  80. 

[Gummere,  J. ] Mathematical  tables:  differ- 
ence of  latitude  and  departure,  logarithms  from  i 
to  10,000,  and  artificial  sines,  tangents,  and  secants. 
Philadelphia,  1822.  8®. 

Bd.  with  his  Surveying. 

Same.  Philadelphia,  1829.  8®. 

Same.  Philadelphia,  1843.  8®. 

Gunter,  E.  Canon  triangulorum,  or  Table  of 
artificial  sines  and  tangents  to  a radius  of  10,000,0000 
parts,  to  each  minute  of  the  quadrant.  London, 
1661.  4®. 

Published  as  a part  of  the  author’s  “ Works.” 

Hassler,  F.  R.  Logarithmic  and  trigonometric 
tables,  to  seven  places  of  decimals.  New  York, 
1830.  12®. 

Hoiiel,  J.  Tables  de  logarithmes  a cinq  d6- 
cimales  pour  les  nombres  et  le^  lignes  trigonome- 
triques  ; nouvelle  ^d.  Paris,  1880.  8®. 

Hutton,  C.  Mathematical  tables : containing 
the  common,  hyperbolic,  and  logistic  logarithms, 
also  sines,  tangents,  secants,  and  versed  sines,  both 
natural  and  logarithmic,  together  with  several  other 
tables  useful  in  mathematical  calculations ; also  the 
complete  description  and  use  of  the  tables  ; with 
seven  additional  tables  of  trigonometrical  formulae 
by  O.  Gregory;  new  ed.  London,  i860.  8®. 

Kohler,  H.  G.  Logarithmisch  - trigonome- 
trisches  Handbuch.  13®  stereotypausgabe.  Leip- 
zig, 1876.  8®. 

La  Lande,  J.  le  F.  de.  Tables  de  logarithmes  ; 
etendues  a sept  d^cimales  par  F.  C.  M.  Marie ; pre- 
cedees  d’une  instruction  dans  laquelle  on  fait  con- 
naitre  les  limites  des  erreurs  qui  peuvent  resulter 
de  I’emploi  des  logarithmes  des  nombres  et  des 
lignes  trigonometriques  par  le  baron  Reynaud ; 
nouvelle  6d.  augmentee  de  formules  pour  la  resolu- 
tion des  triangles  par  M.  Bailleul.  Pai'is,  1867.  12®. 

Loomis,  E.  Tables  of  logarithms  of  numbers 
and  of  sines  and  tangents  for  every  ten  seconds  of 
the  quadrant.  7th  ed.  New  York,  i860.  8®.  (2 

copies.) 

Same.  25th  ed.  New  York,  1868.  8®. 

Bd.  w.  his  “Trigonometry,”  25th  ed.,  1867. 

Same.  25th  ed.  New  York,  1869.  8®. 

(5  copies.) 

Peirce,  J.  M.  Three  and  four  place  tables  of 
logarithmic  and  trigonometric  functions.  Boston, 

1871.  4®. 

[Plauzoles,  C.  de.  ] Tables  de  logarithmes  des 
nombres  depuis  i jusqu’a  21,750;  des  sinus,  cosinus, 
tangentes  et  cotangentes  pour  chaque  minute  du 
quart  de  cercle ; suivies  d’une  table  centAsimale 
donnant  les  logarithmes  de  ces  memes  lignes  pour 
chaque  cent-millieme  du  quadrans.  Paris,  1830. 
12®. 

Plauzoles  is  the  compiler;  his  name  is  signed  to  the  “ discours 
preliminaire  ”. 

Rivard,  D.  F.  Tables  des  sinus,  tangentes, 
secantes,  et  de  leurs  logarithmes,  avec  la  construc- 
tion de  ces  tables,  et  les  problemes  de  la  trigonom^- 
trie.  Paris,  1743.  8®. 

Schrdn,  (H. ) L.  (F.).  Seven-figure  logarithms 
of  numbers  from  i to  108,000  and  of  sines,  cosines, 
tangents,  cotangents  to  every  10  seconds  of  the 


CORNELL  UNIVERSITY. 


3 


quadrant,  with  a table  of  proportional  parts ; 5th 
ed.,  corrected  and  stereotyped,  with  a description  of 
tlie  tables  added  by  A.  De  Morgan.  London,  etc.^ 
1865.  roy.  80. 

Shortrede,  R.  Logarithmic  tables  to  seven 
places  of  decimals  ; containing  logarithmic  sines  and 
tangents  to  every  second  of  the  circle,  with  argu- 
ments in  space  and  time.  Edinburgh,  etc.,  1858. 
roy.  80, 

Stanley,  A.  D.  Tables  of  logarithms  of  num- 
bers, and  of  logarithmic  sines,  tangents  and  secants, 
to  seven  places  of  decimals ; together  with  other 
tables  of  frequent  use  in  the  study  of  mathematics 
and  in  practical  calculations.  New  Haven,  1869. 
80. 

Thoman,  F.  Tables  logarithmiques  pour  les 
calculs  d’interet  compost  et  d’amortissement. 
[Paris,  1869.]  80. 

As  an  appendix  to  Charlon,  H.  Th6orie  math6matique  des 
operations  financieres. 

Vega,  G.,  Freiherr  von.  Logarithmisch-trigo- 
nometrisches  Handbuch ; 30®  Aufl.  herausgegeben 
von  J.  A.  Hiilsse.  Leipzig,  1848.  8®. 

Same.  47®  Aufl.  bearbeitet  von  C.  Bre- 

miker.  Berlin,  1863.  8®. 

e.  Tables  in  Meteorology  and  Hypsometry. 

Williamson,  R.  S.  Practical  tables  in  meteor- 
ology and  hypsometry,  being  the  appendix  to  the 
paper  on  the  use  of  the  barometer  on  surveys  and 
reconnaissances.  New  York,  1868.  4®. 

Eng.  papers,  U.  S.  A.,  no.  15,  appendix. 

f.  Navigation  Tables. 

Lurtz,  F.  E.  Tafeln  zur  Bestimmung  der  Zeit 
aus  der  Sonnenhohe  mittelst  des  Sextanten  fiir  die 
Polhdhe  von  Kronstadt.  Kronstadt,  1859.  4®. 


Ancient  and  Oriental  Authors. 

Alhazen.  Opticae  thesavrvs  Alhazeni  Arabis 
libri  septem  nunc  primum  editi.  Eivsdem  lilier  de 
crepvscvlis  & Nubium  ascensionibus.  Item  Vilcllo- 
nis  thvringopoloni  libri  x.  omncs  instaurati,  figuris 
illustrati  & aucti,  adiectis  etiam  in  Alhazenum  com- 
mentarijs  a F.  Risnero.  Basileae,  1572.  f®. 

Apollonius  Tergams.  Conicorvm  libri  iv.  cvm 
commentariis  C.  Richardi.  Antverpia.*,  1655.  f®. 

“Apollonius  brauchte  zuerst  die  Wortc  Ellipse  und  Hy- 
perbel.” — Poggendorff. 

Two  books  concerning  determinate  section, 

as  they  have  been  restored  by  Willebrordus  Snellius  ; 
by  J.  Lawson  ; to  which  are  added  the  same  two 
books  by  \V.  Wales,  being  an  entire  new  work. 
London,  1 772.  4®, 

Bd.  with  his  Two  books  concerning  tangencies. 

Marini  Ghetaldi  Apollonius  rediuiuus, 

seu  restituta  Apollonii  Pergan  inclinationum  geo- 
metria.  Venetiis,  1607.  4®. 

Marini  Ghetaldi  svpplementum  Apollonij 

Galli,  seu  exsvscitata  Apollonii  Pergai  tactionum 
geometria  pars  reliqua.  Venetiis,  1607.  4®. 

13d.  with  the  preceding.  Apollonius  Galla  is  Francois  Vieta. 

— ^ — Two  books  concerning  tangencies  as  they 
have  been  restored  by  F.  Vieta  and  M.  Ghetaldus, 
with  a supplement  by  J.  Lawson  ; 2d  ed.,  to  which 
is  now  added  a second  supplement,  being  M.  Fer- 
mat’s treatise  on  spherical  tangencies.  London, 
1771.  4®. 

Zwei  Bucher  vom  Raumschnitt ; ein  Ver- 

such  in  der  alten  Geometric  von  A.  Richter.  11  al- 
berstadt,  1828.  8®. 

Aratus  Solensis.  Astronomical  poem  (with  ten 


lines  not  heretofore  known)  with  Cicero’s  Latin 
translation  edited  from  a MS.  in  the  British  museum 
of  the  2d  or  3d  century;  by  W.  Y.  Ottley.  [Lon- 
don, 1834.]  4®. 

^atvopeva  uai  diodrjuEla.  — Phae- 

nomena  et  diosemea  graece  et  latine  ad  codd.  MSS. 
et  optimarvm  edd.  fidem  recensita ; accedvnt  Theo- 
nis  scholia  vvlgata  et  emendatiora  e cod.  mosqvensi, 
Leontii  de  sphaera  aratea  libellvs,  et  versionvm 
Arati  poeticarvm  Ciceronis,  Germanici  et  R.  IL 
Avieni  qvae  svpersvnt ; cvravit  1.  T.  Bvhle.  Lip- 
siae,  1793-1801.  2 V.  8®. 

Conte?tts:  — i.  Prolegomena,  OfXEVOC, 

IxE'ia,  Aeovtiov  TCEpi  -koct a6KEvr]i 

ApcCTElOCs  6(pOCipOCi,  Scholia  Theonis,  Anfmadversiones 
criticae. — ii.  Praefado,  Ciceronis  Arateorvm  fragmenta,  Ger- 
manic! Aratea  et  commentaria,  Avieni  Aratea,  Notae,  Epistola 
cridca  avctore  G.  E.  Groddeck  exhibens  Arad  lectionem 
variam  etc..  Vitae  Arati,  Indices. 

Phaenomena  et  diosemea  quibus  subjici- 

untur  Eratosthenis  catasterismi : Dionysii  orbis  ter- 
rarum  descriptio ; Rufi  Festi  Avieni  utriusque 
poetae  metaphrases ; curavit  F.  C.  Matthiae. 
Francofurti  ad  Moenum,  1817.  8®. 

The  phenomena  and  diosemeia  of  Aratus, 

translated  into  English  verse,  wdth  notes,  by  J. 
Lamb.  London,  1848.  8®. 

In  the  classic  presses. 

Archimedes.  OEuvres,  traduites  litt^ralement, 
avec  un  commentaire  par  F.  Peyrard,  suivies  d’un 
m^moire  du  traducteur,  sur  un  nouveau  Miroir  ar- 
dent, et  d’un  autre  m^moire  de  M.  Delambre,  sur 
I’Arithmetique  des  Grecs.  Paris,  1807.  4®. 

Lemmata  Archimedis  apud  Groecos  & Lati- 
nos jam  pridem  desiderata,  e vetusto  codice  MS. 
arabico  a J.  Gravio  traducta ; et  nunc  primum  cum 
Arabum  scholiis  publicata ; revisa  & pluribus  mendis 
repurgata  a S.  Foster.  Londini,  1659.  f®. 

I3d.  w.  Foster,  S. 

Theorems  selected  out  of  Archimedes  by 

A.  Tacquet,  and  demonstrated  in  a more  easy  and 
compendious  w'ay ; to  which  are  added  some  other 
agreeable  propositions,  newly  invented,  by  the  same 
A.  Tacquet.  London,  1719.  8®. 

See  Euclides ; by  Tacquet.  , 

Arya  Bhatta.  The  elements  of  plane  geometry 
in  48  propositions  ; promising  to  serve  for  the  first 
six  books  of  Euclid  with  all  the  deductions : from 
the  .Sanscrit  text.  P'.dited  on  the  principle  of  Euclid 
by  Jasoda  Nandan  .Sircar.  Calcutta,  1878.  12®. 

Beha-Eddin  al  Aamouli.  Khol.ai^at  al  hissab, 
ou  Quintessence  du  calcul  ; traduit  et  annote  par  A. 
Mane;  2®  ed.  Rome,  1864.  8®. 

Bhascaia  Acharya.  Lflavatf,  a treatise  on 
algebra  and  geometry.  Published  under  the  author- 
ity of  the  committee  of  public  instruction.  Sanskrit. 
Calcutta,  1832.  8®. 

Brahniegupta,  and  Bliascara  Acharya.  Al- 
gebra, with  arithmetic  and  mensuration  from  the 
.Sanscrit ; translated  by  II.  T.  Colebrooke.  London, 
1817.  4®. 

Chasles,  M.  Les  trois  llvres  de  porismes  d’Eu- 
clide,  retablis  pour  la  premiere  fois,  d’apr^s  la  notice 
et  les  lemmes  de  Pappus,  et  conform<§ment  au  senti- 
ment de  R.  Simson  sur  la  forme  des  enonc^s  de  ces 
propositions.  Paris,  i860.  8®. 

Christmaiin,  W.  L.  Apollonius  Suevus,  sive 
Tactionum  problema  nunc  demum  restitutum;  acce- 
dente  censura  in  Vietam.  Tubingae,  1821.  8®. 

Euclides.  VuhAeISov  rd  dcot^opEva.  Eu- 
clidis  quoe  supersunt  omnia,  ex  recensione  1).  Gre- 
gorii.  Greek  and  Latin.  Oxoniaj,  1 703.  f®. 

Les  (euvres  en  grec,  en  latin  et  en  frangais, 

d’apr^s  un  manuscrit  Ires-ancien  qui  6tait  rest6  in- 
connu  jusqu’a  nos  jours;  par  F.  Peyrard.  Paris, 
1814-18.  3 V.  4®. 


4 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


Contents:  — i.  Elementorum  lib.  i.-vii.  — ii.  Elementorum 
lib.  viii.-x. — iii.  Elementorum  lib.  xi.-xiii.,  data,  hypsiclis  de 
quinque  corporibus,  collatio  codicis  190  Bibliothecae  regiae  cum 
editione  oxoniae. 

Euclides.  Preclarissimus  liber  elementorum 
Euclidis  perspi  | cacissimi;  in  artem  Geometrie  in 
cipit  I In  fine:  Opus  elementoru  euclidis  megaren- 
sis  in  geometna  arte  In  id  quoqi . Lampa  | ni  pspi- 
cacissimi  Lomentationes  finiut.  Erbardus  ratdolt 
Augustensis  impressor  solerrissimus.  venetijs  im- 
pressit.  Anno  salutis.  M.CCCC.LXXXIJ.  Octa- 
uis.  Lalen.  Jun.  Lector.  Vale. 

The  editio  princeps  or  first  edition  of  Euclid’s  Elements  of 
geometry  in  a Latin  version  and  one  of  the  earliest  printed 
works  with  mathematical  figures. 

Elementorum  libri  priores  xii.  ex  Com- 

mandini  et  Gregorii  versionibus  latinis  edidit,  pluri- 
bus  in  locis  nuxit  et  in  depravatis  emendavit  S. 
[Horsley],  episcopus  roffensis.  Oxonii,  1802.  80. 

Elementorum  libri  priores  sex,  item  un- 

decimus  et  duodecimus,  ex  versione  latina  F.  Com- 
mandini ; sublatis  iis  quibus  olim  libri  hi  a Theone, 
aliisve,  vitiati  sunt,  et  quibusdam  Euclidis  demon- 
strationibus  restitutis  a R.  Simson.  Glasguae,  1756. 
40. 

Elementorum  libri  sex  priores  graece  et 

latine,  commentario  e scriptis  veterum  ac  recentio- 
rum  mathematicorum  illustrati,  edidit  I.  G.  Came- 
rer.  Berolini,  1824-25.  2 v.  8®. 

Contents : — i.  Libri  i.-iii.  — ii.  Libri  iv.-vi.  Also  with  the 
title: — “Euclidis  elementa  graece  et  Latine. — Commentariis 
instructa  ediderunt  1.  G.  Camerer  et  C.  F.  Hauber.” 

[Elementorum  libri  xiii.,  ex  traditione  Na- 

siridini  Tusini  nunc  primum  arabice  impressi. 
Romae,  ex  typ.  medicea,  1 594.  ] f o. 

Only  with  an  Arabic  title-page ; the  Latin  title-page  is  want- 
ing. The  above  title  is  taken  from  Brunet. 

Elements  of  geometry,  in  xv.  books ; with 

a supplement  of  divers  propositions  and  corollaries ; 
to  which  is  added  a Treatise  of  regular  solids  by 
Campane  and  Flussas ; likewise  Euclid’s  Data  and 
Marinus  his  preface ; also  a treatise  of  the  divisions 
of  superficies,  ascribed  to  Machomet  Bagdedine, 
published  by  the  care  and  industry  of  J.  Leeke  and 
G.  Serle.  London,  1661.  f®. 

Prefixed  is  Dee’s  Mathematical  preface. 

Elements ; with  select  Theorems  out  of 

Archimedes,  by  A.  Tacquet;  to  which  are  added 
practical  corollaries,  shewing  the  uses  of  many  of 
the  propositions  ; the  whole  abridg’d,  and  in  this 
4th  ed.  publish’d  in  English  by  W.  Whiston.  Lon- 
don, 1719.  80. 

'I'he  Archimedes  has  a separate  title  and  paging.  See  Ar- 
chimedes. 

Same,  nth  ed.  with  an  appendix  of  prac- 
tical geometry  by  S.  F.  Dublin,  1791.  8®. 

Elements,  the  whole  fifteen  books  with 

Archimedes’s  Theorems  of  the  sphere  and  cylinder 
investigated  by  the  method  of  indivisibles  ; by  I. 
Barrow ; to  which  is  annex’d  Euclide’s  Data  with 
Marinus’s  preface  and  in  this  edition  is  added  a 
supplement  containing  some  practical  corollaries. 
London,  1 722.  8". 

Elements  of  geometry  from  the  Latin 

translation  of  Commandine ; to  which  is  added  a 
treatise  of  the  nature  of  arithmetic  of  logarithms, 
likewise  another  of  the  elements  of  plain  [j/r] 
and  spherical  trigonometry,  with  a preface  shewing 
the  usefulness  and  excellency  of  this  work  by  J. 
Keil  [Keill];  the  whole  revised,  where  deficient, 
supplied  where  lost  or  corrupted,  restored,  by  S. 
Cunn.  4th  ed.,  to  which  is  subjoined  an  appendix. 
London,  1741.  80. 

.Same.  8th  ed.  London,  1759.  8®. 

JOIements  : the  first  six  books,  with  the  i ith 

and  1 2th  ; also  the  book  of  Euclid’s  Data,  corrected  ; 
by  R.  Simson.  loth  ed.  [to  which]  are  also  annexed 


Elements  of  plain  and  spherical  trigonometry 
Edinburgh,  1 799.  8^. 

Same.  [Books  i. -vi.,  xi.,  xii.  by  J. 

Walker.  London,  1840?]  8®. 

Title-page  wanting. 

Same.  The  first  six  books  and  portions 

of  the  I Ith  and  12th  books;  with  notes,  etc.  by  1. 
Todhunter.  New  ed.  London,  etc.,  1867.  16®. 

Same.  The  first  six  books  and  the  first 

21  propositions  of  the  nth  book;  from  the  text  of 
Dr.  Simson  by  J.  M.  Williams.  9th  ed.  London, 
1854.  120. 

Same.  The  first  vi.  books  in  a com- 
pendious form  contracted  and  demonstrated,  by  T. 
Rudd,  whereunto  is  added  the  mathematical!  preface 
of  J.  Dee.  London,  1651.  40. 

The  first  six  books  of  the  Elements  of 

Euclid  in  which  coloured  diagrams  and  symbols  are 
used  instead  of  letters  for  the  greater  ease  of  learn- 
ers ; by  O.  Byrne.  London,  1847.  sm.  40. 

Elements : the  first  six  books,  from  the 

text  of  Dr.  Simson,  with  questions  on. each  book,  and 
a selection  of  geometrical  exercises  from  the  senate- 
house  and  college  examination  papers ; by  R.  Potts. 
London,  1853.  12®. 

A supplement  to  the  Elements  of  Euclid ; 

2d  ed.  by  D.  Cresswell.  Cambridge,  etc.,  1825.  8®. 

Evclide  megarense  aevtissimo  philosopho 

solo  introdvttore  delle  scientie  mathematice;  dili- 
gentemente  rassettato  et  alia  integrita  ridotto,  per 
N.  Tartalea  secondo  le  dve  tradottioni  di  nuouo  con 
ogni  diligenza  ben  corretto  e ristampato.  Venetia, 
1586.  4®. 

Ofversattning  och  bearbetning  af  sjunde, 

attonde,  nionde  och  tionde  bockerna  af  Euclids 
Elementer  af  A.  Rundback.  Lund,  1855.  8®. 

Porismen  und  Data  von  F.  Buchbinder. 

Naumburg,  1866.  4®. 

La  prospettiva  di  Evclide,  nella  quale  si 

tratta  di  quelle  cose,  che  per  raggi  diritti  si  veggono ; 
& di  quelle,  che  con  raggi  reflessi  nelli  specchi  ap- 
pariscono ; tradotta  da  E.  Danti,  con  alcune  sue 
annotationi ; insieme  con  la  prospettiva  di  Eliodoro 
Larisseo.  Fiorenza,  1573.  4®. 

Heliodorus  Larisscetis.  KecpdXaia  rtSv  oit- 
TiyttSv.  Capita  opticorum.  Greek  and  Latin. 
Florentine,  1573.  4®. 

Bd.  w.  the  preceding. 

La  prospettiva  tradotta  da  E.  Danti,  con 

alcune  breui  annotationi  del  medesimo  et  di  nuouo 
data  in  luce.  Fiorenza,  1573.  4®. 

Bd.  w.  the  preceding. 

lamblichus  Chalcidensis.  In  Nicomachi  Ge- 
raseni  arithmeticam  introductionem  et  de  fato ; nunc 
primum  editus,  in  latinum  sermonem  conversus  notis 
perpetuis  illustratus  a S.  Tennulio,  accedit  J.  Came- 
rarii  explicatio  in  duos  libros  Nicomachi.  Arnhe- 
mise,  1668.  2 pt.  in  i v.  4®. 

The  second  part  has  the  follo^uing  title: — “Explicatio  1. 
Camerarii  in  dvos  libros  Nicomachi  Geraseni  Pythagorei  deduc- 
tionis  ad  .scientiam  numerorum  ; et  notae  S.  Tennulii  ia  Arith- 
meticam Jamblichi  chalcidensis.  Daventriae,  1667.  40.’’ 

Knoche,  J.  H.  Untersuchungen  fiber  des 
Proklus  Diadochus  Commentar  zu  Euklids  Ele- 
menten.  Ilerford,  1862.  4®. 

Mohammed  (Abu  Abdallah)  ben  Musa 
al-Khowarezmi.  'I'he  algebra  of  Mohammed  ben 
Musa,  edited  and  translated  by  F.  Rosen.  Printed 
for  the  oriental  translation  fund.  Arabic  and  Eng- 
lish. London,  1831.  8®. 

Der  von  Ibn  Esra  als  Arithmetikcr  und  Astronom  genannte 
Muhamvted  b.  Musa  al-Khowarezmi  ist  ohne  Zweifel  Ver- 
fasser  einer  Schrift  iiber  die  “indische  Rechnung,’’  welche  ins 
Latcinische  iibersetzt,  die  Veranlassung  ward,  dass  man  dem 
arabischen  Ziffersystem  und  der  entsprechenden  Rechen- 
methode  seit  dem  xii.  Jahrhundert  den  Namen  Algorismus  oder 
A Igorithmus  gab.  — Steifischneider. 


CORNELL  UNIVERSITY. 


5 


Nicomachus  Gemsemts.  Eidayooyy  dpiO- 
HrjTiH)}  rccognovit  et  praefatus  est  R.  Iloche. 
W’ctzlar,  1862.  4”. 

Planudes,  Maximus.  Das  Rechenbucli. 
{Ma^i/iov  yoraxov  rov  IlXavovdi]  ‘ip7jq)0- 
q>opia  nai  Lvdov^S  77  Leyopevr/  peydXr^); 
nach  den  llandschriften  der  kaiserlichen  Bibliothek 
zu  Paris  herausgegeben  von  C.  I.  Gerhardt.  Halle, 
1865.  40. 

Same.  Eisleben,  1865.  40. 

Proclus.  The  philosophical  and  mathematical 
commentaries  of  Proclus  on  the  first  book  of  Eu- 
clid’s Elements  [translated  and  edited  by  T.  Taylor]. 
London,  1792.  2 v.  in  i.  4®. 

Conients  : — i.  Preliminary  dissertations  (including  The  true 
end  of  geometry),  Life  of  Proclus,  Commentaries  (books  i.,  ii.). 
— ii.  Commentaries  (books  iii.,  iv.).  Restoration  of  the  Pla- 
tonic theology.  Elements  of  theology. 

Ptolemaeus,  Claudius.  Mafi-ppariuf/  dvv- 
Composition  mathematique,  traduite  pour 
la  premiere  fois  du  grec  en  frangais  sur  les  manuscrits 
originaux  de  la  bibliotheque  imperiale  de  Paris,  par 
M.  Halma  et  suivie  des  notes  de  M.  Delambre. 
Greek  and  French.  Paris,  1813-16.  2 v.  40. 

In  vol.  2 the  words  du  roi  are  substituted  for  impMale. 

IlEpi  rfji  yeooypaqiiHrji  vq^rjy-pdEGOi 

ftiftXiov  TtpcSrov  xai  rov  kfjddpov  sdxocra. 
Traits  de  geographie,  traduit  pour  la  premiere  fois, 
du  grec  en  fran9ais  par  M.  I’abb6  Halma.  Paris, 
1828.  40. 

Schmidt,  K.  C.  G.  Ueber  den  alten  Mathe- 
matiker  Kleomedes  und  seine  Schrift : KvxXim} 
^EGopia  rojy  pEVEoopooy.  Naumburga.  d.  Saale. 
1828.  40. 

Theodosius.  'Eq>aipiH(Sy  ftiftXiaF.  Sphx- 
ricorum  libri  tres.  [Edited  by  J.  Hunt.]  Greek 
and  Latin.  Oxonioe,  1707.  80. 

Woepcke,  F.  Essai  d’une  restitution  de  tra- 
vaux  perdus  d’Apollonius  sur  les  quantites  irration- 
nelles,  d’apres  des  indications  tiroes  d’un  manuscrit 
arabe.  Paris,  1856.  40. 


Collections  and  Miscellaneous 

(including  the  collective  works  0/ modern  authors.) 

Abel,  N.  H.  Oeuvres  completes,  avec  des  notes 
et  developpenients,  redigdcs  par  P.  Ilolmboe. 
Cliristiania,  1839.  2 v.  4^. 

Contents:  — i.  Les  oeuvres  de  I’anleur  qui  ont  6te  publices 
auparavant.  — ii.  Les  oeuvres  de  I’auteur  qui  n’ont  pas  hih 
publiecs  auparavant. 

Airy,  Sir  G.  B.  Mathematical  tracts  on  tlie 
lunar  and  planetary  theories,  tlie  figure  of  the  eartli, 
precession  and  nutation,  the  calculus  of  variations 
and  the  undulatory  theory  of  optics.  4th  ed.,  cor- 
rected and  improved.  Cambridge,  1858.  8®. 

Alembert,  J.  le  R.  d’.  Opuscules  mathe- 
matiques,  ou  Meinoircs  sur  diffdrens  sujets  de  g^- 
omd'trie,  de  m6chani(jue,  d’optique,  d’astronomie, 
&c.  Paris,  1761-68.  5 v.  4“. 

Contents:  — i.  Vibrations  des  cordes  sonores,  Mouvement 
d’un  corps,  Oscillations  d’un  corps,  Mouvement  des  fluides. 
Composition  des  forces,  Logtirithines  des  cjuantit^s  negatives, 
Des  cones  obliiiues.  Attraction,  Optique. — it.  Calcnl  des  proba- 
bilit^s  et  l.’appiication  a I’inoculation  de  la  petite  v^role,  The- 
orie  des  cometes,  Com^te  de  1682  & 1759,  Problemc  des  trois 
corps,  'fables  de  la  lime,  Libration  de  la  lune. — iii.  Verres 
optiques. — iv.  Axes  de  rotation  d’un  corps,  Mouvement  d’un 
corps,  Lettres,  1767,  Verres  optiques,  Vibrations  des  cordes 
sonores,  Calcul  integral,  Calcnl  des  probabilitds  et  calculs 
relatifs  h.  I’inoculation,  ficrits  sur  differens  sujets,  'flidorie  de  la 
lune,  Problcme  des  trois  corps. — v.  'f h^orie  des  ll,uides,  Mouve- 
ment des  fluiiles.  Suites,  Racines  imaginaires,  Ecrits  sur  diffe- 
rens sujets  d’astronomie  physique. 

Arago,  (D.)  (F.)  J.  (ICuvres  competes  publiecs 
(I’aprc.s  son  ordre  sous  la  direction  de  J.  A.  Banal. 
Paris,  i854-(3o.  16  v.  8®. 


Co7itcnts  : — i.-iii.  Notices  biographiques. — iv.-viii.  Nottces 
scicntifiqucs. — ix.  Voyages  scientiiiqucs.  — x.,  xi.  M6moires 
scicntifiques.  — xii.  Melanges. — xiii.-xvi.  Astronomic  popu- 
laire. 

Barrow,  I.  Mathematical  works;  edited  for 
Trinity  college  by  W.  Whewell.  Cambridge,  i860. 
8®. 

Bernoulli,  Jacob.  Opera.  Genevan,  1744. 

2 V.  4®. 

Contents:  — i.  Vita,  Systema  cometarum,  Dissertatio  de 
gravitate  setheris,  Opuscula  varia. — ii.  Notse  in  geometriam 
Cartesii,  Opuscula  varia,  Varia  posthuma. 

Bernoulli,  Johann.  Opera  omnia,  tarn  antea 
sparsim  edita  quam  hactenus  inedita.  Lausannse  & 
(ienevse,  1 742.  4 v.  4®. 

Contents: — i.  Opera  ab  anno  1690  ad  annum  1713. — ii. 
1714-1726. — iii.  1727-42,  accedunt  Lectiones  de  calculo  inte- 
gralium.  — iv.  Anecdota. 

Brougham,  H.  Tracts,  mathematical  and  phys- 
ical. London,  etr.,  i860,  sm.  8®. 

Cauchy,  A.,  Baron.  Exercices  d’analyse  et 
physique  de  mathematique.  Paris,  1840-47.  4 v. 

Contents:  — i.  Mouvements  infiniment  petits.  Reflexion  et 
refraction  d’un  mouvement  simple  transmis  d’un  systeme  de 
molecules  a un  autre.  Transformation  et  reduction  des  integrales 
d’un  systeme  d’equations  lineaires  aux  differences  partielles. 
Rayons  simples  qui  se  propagent  dans  un  systeme  isotrope  de 
molecules,  Theorie  des  suites.  Deux  especes  d’ondes  planes  qui 
peuvent  se  propager  dans  un  systeme  isotrope  de  points  mate- 
riels,  Integration  des  equations  differentielles.  Elimination  d’une 
variable  entre  deux  equations  algebriques. . — ii.  Resolution  des 
equations  indeterminees  du  premier  degre,  Mecanique  celeste 
et  calcul  des  limites,  Racines  d’une  equation  qui  renferme  un 
parametre  variable,  Quelques  th6oremes  d’algebre,  Diverses 
suites  que  Ton  peut  former  avec  des  termes  donnes,  Fonctions 
et  sommes  alternfees,  Resultantes,  Rapport  difierentiel  de  deux 
grandeurs  qui  varient  simultanemcnt,  Problcmes  du  calcul  in- 
tegral, Integration  des  equations  au.x  derivees  partielles  du 
premier  ordre,  'fh^oremes  relatifs  a la  transformation  des  co- 
ordonnees  rectangulaires,  'fheoremes  relatifs  a des  sommes 
d’exponentielles,  I’roprietes  des  integrales  defmies.  Dilatations, 
condensations,  et  rotations  produites  par  un  changement  de 
forme  dans  un  systeme  de  points  materiels,  Integrales  des 
equations  lineaires  aux  derivees  partielles,  'fh^orie  des  inte- 
grales defmies  singulieres  ajipliquec  a la  ileterinination  des  in- 
t6grales  defmies. — iii.  Analyse  infinit6siniale,  Calcul  des  varia- 
tions, Mouvement  de  rotation  variable  d’un  point,  Un  th6oreme 
de  g6om6trie  analytique,  Qnelques  propositions  relatives  a la 
th6orie  des  nombres.  Arrangements  que  I’on  peut  former  avec 
des  lettres  donn6es,  Lignes  qui  divisent  en  parties  egales  les 
angles  formas  par  deux  droites,  Quekiues  propriet6s  des  re- 
sultantes, Th6orle  des  projections  orthogonales,  Fonctions 
de  variables  imaginaires,  Modules  des  series.  — iv.  Re- 
sultantes, Equivalences  algebriipies,  Progressions  des  divers 
ordres,  Changement  des  variables  dans  les  int6grales,  Valeurs 
inoyennes  des  fonctions,  (Quantites  geonietriqnes,  Methode 
nouvelle  pour  la  resolution  des  equations  algebriques,  C)uelqnes 
definitions  adoptees  en  aritlmietiipie  et  en  algebre,  Moyennes 

arithmetiques  et  geometriques,  Quantitd  geometrique  i =/ — , 

2 

(Quantites  geonietriiuics  dans  la  trigonometric  rectiligne,  Fonc 
tions  entieres  d’un  degre  infini,  Divers  logaritlnnes  il’iine  quan- 
tite  geonietriiiuc.  Puissances  ou  exponentiellcs  dont  les  expo- 
sants  et  les  bases  sont  des  quantites  geometriipies,  Arguments 
de  deux  (piantites  geometriipies,  Valeurs  des  expressions  sin  z, 
cos  z,  etc.,  J)ivers  arcs  qui  ont  pour  sinus  ou  cosinus  etc.  ime 
qiiantite  geometriipie,  Fonctions  et  differentielles  de  ipiantites 
algebriques  ou  geometriques.  Clefs  algebriques,  etc. 

CTavius,  C.  Opera  niatheiuatica ; ab  auctore 
nunc  (lenuo  correcta  et  pluriinis  locis  aticta.  Mo- 
gvntiae,  1612.  5 v.  in  3.  f®. 

Contents:  — i.  General  title,  preface  and  index,  In  iMiclidem 
et  in  'f  lieodosiimi  commentarij,  De  sinibiis  et  lineis  tangentibiis 
et  secantibiis,  Triangula  rcctilinea,  friangula  spba:rica,  1611. 
— ii.  Geoinetria  practica,  Arithmetica  practica.  Algebra,  1611. 
— iii.  InSpliaeram  loannis  de  Sacro  Hosco  coinmentarius.  Astro- 
labium,  1611.  [ I'he  two  remaining  volumes  are  of  earlier  edi- 

tions j 

Cossali,  P.  Scritti  inediti,  ptiliblicali  da  B. 
Boncoinpagni ; seguiti,  da  un’  appendice  eonlenentc 
quattro  lettere  dirette  al  niede.sinio  1’.  Ckis.sali  ed  una 
nota  inlorno  a queste  lettere.  Roma,  1857.  4®. 

Cremona,  L.,  e E.  Beltrami.  Collectanea 
mathematica  nunc  jiriinuin  edita.  [In  ineinoriam 
D.  Chelini.]  Mediolani,  etc.,  1881.  1.  8®. 


i6 


WORKS  RELATING  TO  MATHEMATICS. 


Contents  : — Beltrami,  E.  Della  vita  e delle  opere  di  D. 
Chelini.  — Hermite,  C.  Sur  les  fonctions  0 (jt)  et  H {-x)  de 
Jacobi.  — Siacci,  F.  L’iperboloide  centrale  nella  rotazione 
de’  corpi. — Cayley,  A.  On  a differential  equation. — Bat- 
taglini,  G.  Sulle  cubiche  temarie  sizigetiche. — Hirst,  T.  A. 
On  the  complexes  generated  by  two  correlative  planes.  — 
Ovidio,  E.  d’.  Nota  sopra  alcuni  iperboloidi  annessi  alia 
cubica  gobba. — Mannheim,  A.  Constructions  planes  des 
Elements  de  courbure  de  la  surface  de  I’onde.  — Padova,  E. 
Sulla  integrazione  delle  equazioni  a derivate  parziali  del  primo 
ordine. Smith,  H.  J.  S.  De  fractionibus  quibusdam  con- 
tinuis. — Caporali,  E.  Sopra  i sistemi  lineari  triplamente  in- 
finiti  di  curve  algebriche  piane. — Cerruti,  V.  Intorno  ad  una 
generalizzazione  di  alcuni  teoremi  di  meccanica. — Bardelli, 
G.  Sugli  assi  di  equilibrio.  — Darboux,  G.  Sur  I’equation 
de  Riccati. — Borchardt,  C.  W.  Sur  deux  algorithmes  ana- 
logues a celui  de  la  moyenne  arithmetico-geometrique  de  deux 
elements. — Brioschi,  F.  Sopra  una  forma  binaria  dell’  ottavo 
ordine. — II  risultante  di  due  forme  binarie,  Tuna  cubica  e 1’  altra 
biquadratica. — Kronecker,  L.  Ueber  Potentiale  «-Facher 
Mannigfaltigkeiten. — Betti,  E.  Sopra  la  propagazione  del 
calore. — Reye,  T.  Ueber  quadratische  Kugelcomplexe  und 
confocale  Cycliden.  — Dini,  U.  Alcuni  teoremi  sulle  funzioni 
di  una  variabile  complessa.  — Schlafli,  L.  Einige  Bemer- 
kungen  ueber  die  Lame’schen  Funktionen. — Wolf,  R.  Ueber 
die  Abspiegelung  der  Sonnenfleckenperiode  in  den  zu  Rom 
beobachteten  magnetischen  Variationen.  — Geiser,  C.  F. 
Ueber  die  dreifachen  Secanten  einer  algebrai.schen  Raumcurve. 
— Casorati,  F.  Una  formola  fondamentale  concernente  i dis- 
criminanti  delle  equazioni  differenziali  e delle  loro  primitive  com- 
plete.— Bertini,  E.  Sulle  curve  gobbe  razionali  del  50  ordine. 
— Jung,  G.  Sui  momenti  obliqtii  di  un  sistema  di  punti  e sull’ 
“imaginares  Bild”  di  Hesse.  — Beltrami,  E.  Sulla  teoria 
degli  assi  di  rotazione.  — Boncompagni,  B.  Intorno  ad  un 
testamento  inedito  di  Nicolo  Tartaglia. — Cremona,  L.  Sopra 
una  certa  superficie  di  quart’ordine. 

Desargues,  G.  GLuvres,  reunies  et  analysees 
par  M.  Pouclra.  Paris,  1864.  2 v.  8®. 

Contents  : — i.  Biographic,  Per.spective,  Traite  des  coniques, 
Coupe  des  pierres,  Gnomonique,  etc. — ii.  Analyse  des  ouvrages 
de  Bosse,  Lettres  de  Descartes,  Notices  sur  Desargues, 
Aleaume,  Niceron  et  Huret,  Divers  libelles  centre  Desargues, 
etc. 

Descartes,  R.  QEuvres,  publiees  par  V.  Cousin. 
Paris,  1824-26.^  II  V.  80. 

Contents:  — i.  Eloge  de  Descartes  par  Thomas;  oeuvres 
philoiiophiques. — ii.-iv.  Ouvrages  philosophiques. — v.  Diop- 
trique,  Meteores,  Geometric,  Mecanique,  hlusique,  Tables.  — 
vi.-x.  Lettres.  — xi.  Ouvrages  traduites  du  latin. 

Opuscula  posthuma,  physica  et  matbe- 

matica.  Amstelodami,  1750.  4°. 

Contents  : — i.  Mvndus,  sive  Dissertatio  de  lumine,  ut  & de 
aliis  sensuum  objectis  primariis.  — ii.  Tractatus  de  mechanica 
cum  elucidationibus  N.  Poissonii. — iii.  N.  Poissonii  Elucida- 
tioncs  physicae  in  Cartesii  Musicam. — iv.  Regulae  ad  direc- 
tionem  ingenii,  ut  & inquisitio  veritatis  per  lumen  naturale.  — 
V.  Primae  cogitationes  circa  generationem  animalium,  & non- 
nulla  de  saporibus.  — vi.  Excerpta  ex  MSS.  R.  Des  Cartes. 

Dippe,  M.  C.  Peitriige  zur  Elementar-Mathe- 
matik.  i.  Abth.  Schwerin,  1854.  4®. 

Contents  : — 1 )ie  Binomialreihe.  — Die  Logarithmen.  — Die 
algcbraischen  Gleichungen  des  dritten  und  vierten  Grades.  — 
Die  arithmctischen  Reihen.  — Die  Combinationslehre. 

Divers  ouvrages  de  mathematique  et  de  physique 
par  Messieurs  de  Pacademie  royale  des  sciences. 
I’aris,  1693.  fo. 

ConUiins  treatises  by  Fr^nicle  de  Bessy,  Roberval,  Huyghens, 
Picard,  Auzout,  Mariotte  and  Rbmer. 

Euler,  L.  Opuscula  varii  argumenti.  Berolini, 
1 746-5 1 . 3 V.  in  1 . 40. 

Contents  : — i.  De  motu  corporum  tubis  mobilibus  inclusorum, 
Tabula;  mfituiim  solis  ac  lunm,  I'heorui  lucis,  De  perturbatiqne 
motus  planeUirum,  An  materiae  facultas  cogitandi  tribui  possit? 
Nature  des  moindres  particules  des  corps. — ii.  Conjectura  circa 
propagationem  .sfitii  ac  luminis,  De  numcris  amicabilibus,  De 
iiatiira  mqiiationum,  De  rectificatione  ellipsis.  — iii.  Nova 
thcoria  magnetis,  dissertationcs  analytico-mechanicae. 

Ojiera  jiostuma  niathematica  et  physica 

anno  MDCCC.XLIV  dctecta  rjuae  Academiae  sci- 
entiaruin  jictropolitanae  obtulerunt  ejusque  auspiciis 
etliderunt  auctoris  jironepotcs  B.  11.  k'uss  et  N. 
Fu;s.  I’etropoli,  (?A. , 1862.  2 v.  40. 

Contents: — i.  Arithmctica,  Analysis,  Varia. — ii  Mechanic.a, 
Astronomia,  I'hysica,  Varia. 

Fermat,  P.  de.  Varia  opera  mathcmatica  ac- 
ce‘‘  erunt  selectae  quxdam  ejusdem  epistolse.  To- 
loste,  1679.  fo. 

Same.  Berolini,  1861.  f®. 


Foster,  S.  Miscellanies,  or  Mathematical  lucu- 
brations ; published,  and  many  of  them  translated 
into  English,  by  J.  Twysden.  London,  1659.  fo. 

_ Also  with  the^  Latin  title:  — “Miscellanea,  sive  Lucubra- 
tiones  mathematicse  ’’  and  contains,  after  eight  leaves  of  prefa- 
tory matter,  several  treatises  by  Foster;  some  of  them  with 
separate  title-pages ; also  the  following  by  Twysden  ; — “ Cer- 
tain mathematical  problems,”  “ The  whole  art  of  reflex  dial- 
ling ” and  “ A short  treatise  of  fortifications  ” ; also,  “ Lemmata 
Archimedis  e vetusto  codice  arabico  a J.  Gravio  traducta,  revisa 
a S.  Foster;”  also  an  appendix  with  “Extracts  from  letters 
wnUen  by  Im.  Halton  [on  dialling];”  and  “^Equations 
arising  from  a quantity  divided  into  two  unequal  parts,  and 
the  second  book  of  Euclide’s  Elements,  demonstrated  by 
species  by  J.  Leeke.” 

Fresnel,  A.  (J.).  CEuvres  completes,  publiees 
par  El.  de  Senarmont,  fi.  Verde t,  et  L.  Fresnel : 
tom.  iii.  Paris,  1870.  40. 

Frisi,  P.  Opera.  Mediolani,  1782-85.  3 V.  40. 

Contents:—  i.  Algebra  et  geometria  analytica.  1782. — ii. 
Mechanica  universa  et  mechanics  applicatio  ad  aquarum  flu- 
entium  theoriam.  1783. — iii.  Cosmographia  physica  et  mathe- 
matica.  1785. 

Galilei,  G.  Opere,  in  questa  nuoua  editione 
insieme  raccolte,  e di  varij  trattati  dell’  istesso  autore 
non  piu  stampati  accresciute.  Bologna,  1655-56. 

2 V.  40. 

Contents: — i.  Bastard  title,  frontispiece,  title,  dedication, 
preface  of  C.  Manolessi,  table  of  contents,  letter  to  Galileo  from 
Mafieo  Barberini,  poem  arid  epitaph,  second  bastard  title  and 
portrait  (in  all  ii  leaves),  and  then  follow  the  various  treatises 
with  separate  title-pages  as  follows : — 

1.  Le  operation!  del  bompasso  geometrico  e militare.  1656.' 

2.  Annotation!  di  M.  Bemaggeri  sopra  ’1  trattato  dell’  in- 
strumento  delle  proportion!  del  Sig.  Galilei.  1655. 

3.  Vsvs  et  fabrica  circirii  cvivsdam  proper tionis,  per  quern 
omnia  fere  turn  Euclidis,  turn  mathematicorum  omnium  proble- 
mata  facili  negotio  resoluuntur;  opera,  et  stvdio  B.  Caprae. 
^^55- 

4.  Difesa  di  Galilei  contro  alle  calunie  & imposture  di  B. 
Capra.  1655. 

5.  Discorso  intorno  alle  cose,  che  stanno  sii  1’  acqua,  6 che  in 
quella  si  muouono ; 2®  ed.  1655. 

6.  Discorso  apologetico  di  L.  delle  Colombe  d’  intorno  al  Dis- 
corso del  S.  Galilei,  circa  le  cose,  che  stanno  sir  1’  acqua,  6 chc 
in  quella  si  muouono.  1655. 

7.  Consideration!  di  V.  di  Gratia  sopra  il  Discorso  del  Sig. 
Galilei  intoVno  alle  cose  che  stanno  sii  1’  acqua,  e che  in  quella 
si  muouono.  1655. 

8.  Risposta  alle  opposition!  del  Sig.  L.  delle  Colombe  e del 
Sig.  V.  di  Gratia  contro  all  trattato  del  Sig.  Galilei  delle  Cose 
che  stanno  sii  1’  acqua,  6 che  in  quella  .si  muouono.  1655. 

9.  Della  scienza  mecanica  e delle  vtilita  che  si  traggono  da 
gl’  instromenti  di  quella;  con  vn  fragmento  sopra  la  forza  della 
percossa.  1655.  [Also  “ La  bilancetta,  nella  quale,  ad  imita- 
tlone  d’  Archimede  nel  problema  della  corona,  s’  insegna  a 
trouare  la  proportione  del  misto  di  due  metalli  insieme,  e la 
fabrica  dell’  istesso  strumento.  ”] 

ii.  Bastard  title  “ Opere  del  Galileo,  volvme  sccondo.” 

10.  Syderevs  nvncivs.  1655. 

11.  Continvatione  del  Nvntio  sidereo  di  Galilei,  ouero  Saggio 
d’  istoria  dell’  vltime  sue  osseruationi  fatte  in  Saturno,  Marte, 
Venere  e Sole.  1655. 

12.  Istoria  e dimostrationi  intorno  alle  macchle  solari  e loro 
accident!  comprese  in  tre  lettere.  1655.  [Also  “ De  macvlis 
solaribus  tres  epistolae.”] 

13.  De  tribvs  cometis  anni  M.  DC.  XVIII.  disputatio  astro- 
nomica  publice  habita  in  collegio  romano  societatis  lesv  ab  vno 
ex  patrlbus  eiusdem  societatis.  1655. 

14.  Discorso  delle  comete  di  M.  Gvidvccl  fatto  da  Ivi  nell’ 
Academia  fiorentina.  1655.  [Said  to  be  written  by  Galileo.] 

15.  11  saggiatore  nel  quale  con  bilancia  esquisita,  e giusta  si 
ponderano  le  cose  contenute  nella  libra  astronomica,  e filosofica 
di  L.  Sarsi.  1655. 

16.  Lettera  al  Rev.  T.  Gallvzzi,  di  M.  Gvidvcci  nella  quale 
si  giustifica  dell’  imputationi  datcgli  da  L.  Sarsi  nella  libra 
astronomica,  e filosofica.  1655.  [Also  “ Ex  libro  inscripto 
Liteosphoros  sev  de  lapide  bononiensi  F.  Liceti  caput  qiiinqua- 
gesimum.”  Also  “Lettera  del  Sig.  Galilei  in  proposito  di 
quanto  discorre  F.  Liceti  sopra  il  candor  hmarc,  nel  cinquantesi- 
mo  capltolo  del  suo  Litcosforo.”  Also  “ De  Ivnarivm  montivm 
altitvdine  problema  mathematievm  habitvm  ab  vno  ex  patrlbus 
nostra;  societatis  lesv.”  Also  “Lettera  del  Sig.  Galilei  con- 
tenente  vna  dimostratione  d’vn  principio  gia  supposto  dall’ 
autore  nel  suo  trattato  del  moto  accelerato  ne’  dialoghi  de’  moui- 
menti  local!.”] 

17.  Lettera  del  Sig.  Galilei  in  materia  delle  montuosita  della 
Ivna.  1655. 

18.  Discorsi  e dimostrationi  matematiche  Intorno  a due  nuouc 
scienze,  attenenti  alia  mecanica,  & i mouimenti  local!.  1655. 

19.  Tavola. 


CORNELL  UNIVERSITY. 


^7 


Galilei,  G.  Opere.  Milano,  1808-11.  13  v.  80. 

Contents:  — i.  Vita,  Prefazione  universale,  Operazioni  del 
compasso  geoinetrico  e niilitare,  Annotazioni  di  M.  Pernaggeri, 
Usus  et  fabrica  circini. — ii.  Difesa  contro  P’.  Capra,  Discorso 
intorno  alle  cose  che  stanno  in  su  1’  acqua,  Lettera  di  T.  Nozzo- 
lini,  Lettera  a T.  Nozzolini. — iii.  Discorso  di  L.  delle  Co- 
lombo, Considerazioni  di  V.  di  Grazia,  Risposta  di  Galileo.  — 
iv.  Considerazioni  appart’enenti  al  libro  di  V.  di  Grazia,  Della 
scienza  meccanica.  La  bilancetta,  Annotazioni  di  D.  Mantovani, 
Osservazioni  di  P.  Castelli  e V.  Viviani,  Del  modo  di  misurar 
con  la  vista,  Nuncius  sidereus.  — v.  Continuazione  del  Nunzio 
siderco,  Le  macchie  solari. — vi.  De  maculis  solaribus,  Discorso 
delle  comete  di  M.  Guiducci,  II  saggiatore. — vii.  Lettera  di  M. 
Guiducci,  Ex  libro  Lileosphoros  F.  Liceti,  Lettera  sopra  il 
candor  lunare,  De  lunarium  montium  altitudine  ab  uno  ex 
patribus  societatis  Jesu,  Lettera  di  G.  Piancano,  Epistola  C. 
Griemberger,  Lettera  a C.  Griemberger,  Lettera  di  C.  Sassetti, 
Lettera  sopra  1’  uso  del  canocchiale,  Risposta  ad  un  problema 
di  P.  Pardi,  Lettere  in  proposito  di  trovare  le  longitudini  per 
via  de’  pianeti  medicei,  Operazioni  astronomiche,  Trattato 
della  sfera,  Lettere  a P.  Gualdo,  F.  Micanzio,  P.  Sarpi,  ecc. — 
viii.  Discorsi  matemadche  intorno  a due  nuove  scienze  atte- 
nenti  alia  meccanica  (giornate  i.-iii.). — ix.  Meccanica  (gior- 
nate  iv.-vi),  Trattato  delle  resistenze  da  V.  Viviani  e G.  Grandi. 

— X.  Lettere,  Frammenti,  Considerazione  sopra  il  giuoco  de’ 
dadi,  Problemi  varj,  Indice  (tonii  i-io). — xi.  Condanna  di 
Galileo,  Dissertazione  sovra  il  sistema  del  mondo  degli  andchi 
Ebrei,  Dialog!  sui  sistemi  del  mondo  (giornate  i.,  u.). — xii. 
Dialog!  sui  sistemi  del  mondo  ^giornate  iii.,  iv.). — Lettere  ed 
illustrazioni  vaij. 

Gauss,  C.  F.  Werke,  herausgegeben  von  der 
konig.  Gesellschaft  der  Wissenschaften  zu  Gottin- 
gen. ier-iiier^  v^r  Bd.  Gottingen,  1863-67.  4 V.  40. 

Contents : — i.  Di.squLsidones  arithmeticae.  — ii.  Hohere 
Arilhmetik  (Abhandlungen  und  Anzeigen).  — iii.  Algebraische 
Functionen,  Gauss’  Reihe,  Mittheilungen  iiber  verschiedene 
Schriften,  Interpolation,  Ellipdsche  Functionen. — v.  Mathe- 
madsche  Physik  (Abhandlungen,  Aufsatze,  Peobachtungen, 
und  Anzeigen). 

Same,  viier  Bd. ; herausgegeben  von  E.  J. 

Sobering.  Gotha,  1871.  4®. 

Giaimini,  P.  Opuscula  mathematica.  Parmse, 
1773.  40. 

Contents:  — De  hydraulica. — De  cycloide  contracta,  ac  pro- 
tracta.  — De  sectione  determinata. 

Green,  G.  Mathematical  papers  edited  by  N.  M. 
Ferrers.  London,  1871.  8«.  (2  copies.) 

Contents : — An  essay  on  the  application  of  mathematical 
analysis  to  the  theories  of  electricity  and  magnetism.  — Mathe- 
matical investigations  concerning  the  laws  of  the  equilibrium 
of  fluids  analogous  to  the  electric  lluld,  with  other  similar  re- 
searches.— On  the  determination  of  the  extenor  and  interior 
attractions  of  ellipsoids  of  variable  densities. — On  the  motion 
of  waves  in  a variable  canal  of  small  depth  and  width. — C)n 
the  reflexion  and  refraction  of  sound.  — On  the  laws  of  re- 
flexion and  refraction  of  light  at  the  common  surface  of  two 
non-crystallized  media. — On  the  motion  of  waves  in  canals. 

— On  the  propagation  of  light  in  crjstallized  media.  — Re- 
searches on  the  vibration  of  pendulums  in  fluid  media. 

Gregory,  D.  F.  Mathematical  writings,  edited 
by  W.  Walton  ; with  a biograiihical  memoir  by  R. 
L.  Ellis.  Cambridge,  etc.,  1865.  8«. 

Grunert,  J.  A.  Beitriige  zur  reinen  und  ange- 
wandten  Mathematik : i«r  Theil.  Brandenburg, 
1838.  40. 

No  more  published. 

Grupelli,  L.  Memorie  matematiche.  Milano, 
^^34- 

Contents: — i.  Osservazioni  Intorno  alle  equazioni  di  grado 
superiore  al  secondo. — 2.  Serie  logaritmiche.  — 3.  Osservazioni 
intorno  alle  serie  ricorrend. — 4.  Equazioni  indeterminate  di 
primo  gmdo. 

Guglielmini,  D.  Opera  omnia,  mathematica, 
hydraulica,  medica  et  physica;  accessit  vita  autoris 
a J.  B.  Morgagfii.  Genevae,  1719.  2 v.  4“. 

Contents: — 1.  Mathematica,  Hydraulica. — Ii.  Medica,  Phy- 
sica. 

Gunter,  E.  Works,  containing  the  description 
and  use  of  his  sector,  cross-staff,  bow,  quadrant, 
and  other  instruments  : with  a canon  of  artificial 
sines  and  tangents,  to  a radius  of  10.00000  parts, 
and  logarithms  from  an  unite  to  loooo,  with  the 
use  thereof  in  arithmetick,  geometry,  astronomy, 
navigation  and  dialling;  corrected  by  11.  Bond; 
4th  ed.,  to  which  is  added,  the  description  and  use  of 
another  sector  with  more  lines,  differing  from  that 


of  Mr.  Gunter,  as  also  of  a quadrant  fitted  with  new 
lines,  both  invented  and  written  by  S.  Foster;  now 
published  from  his  manuscripts;  the  whole  work 
examined,  and  in  many  places  enlarged  by  W. 
L[eybourn].  London,  1602.  40. 

The  volume  has  three  sub-titles  which  are  given  in  their 
proper  places. 

— — The  crosse-stafife,  in  three  books,  the  first 
containing  its  description,  and  the  use  thereof  in 
taking  of  heights  and  distances ; the  second,  con- 
taines  the  use  of  the  lines  thereon  in  the  measuring 
of  all  manner  of  superficies  and  solids ; the  third 
containes  the  use  of  the  lines  of  numbers,  sines  and 
tangents  in  dialling,  to  which  is  added  an  appendix, 
containing  the  description  and  use  of  a small  porta- 
ble quadrant.  London,  1662.  40. 

Published  as  a part  of  the  author’s  “ Works”. 

Guyot,  . Nouvelles  recreations  physiques 

et  mathematiques  ; nouvelle  ed. , corrigee  & conside* 
rablement  augmentee.  Paris,  1 772-74.  3 v.  8®. 

Contents:  — L’aimant,  Mechanique,  Nombres. — ii.  Ge- 
ometrie,  Optique,  Perspective,  Electricite.  — iii.  L’aimant,  Jeu 
des  gobelets,  etc.,  Catoptrique,  Dioptrique. 

Halliwell-Phillipps,  J.  O.,  editor.  Rara  math- 
ematica; or,  A collection  of  treatises  on  the  math- 
ematics and  subjects  connected  with  them,  from  an- 
cient inedited  manuscripts.  London,  etc.,  1839.  80. 

Includes  treatises  by  J.  de  Sacro  Bosco,  W.  Bourne,  J. 
Robyns,  A.  de  Villa  Dei,  D.  de  Merley,  J.  Norfolk  and  others. 
Halliwell’s  own  contributions  are  “ A few  observations  on  the 
numerical  contractions  found  in  some  manuscripts  of  the  Trea- 
tise on  geometrj-  by  Boetius,”  and  “Notes  on  early  almanacs.” 

Horrebow,  P.  Opera  mathematico  - physica^ 
Havnioe,  1740-41.  3 v.  in  i.  40. 

Hutton,  C.  Tracts  on  mathematical  and  philo- 
sophical subjects.  London,  1812.  3 v.  8«. 

Contents:  — i.  Bridges,  Infinite  series,  Extraction  of  roots, 
Binomial  theorem,  Sphere  and  cone.  Circles,  Trigonometry 
without  tables  of  sines,  Machin’s  quadrature  of  the  circle. 
Quickly-converging  .series  for  the  circle,  History  of  trigonomet- 
rical tables.  History  and  construction  of  logarithms,  Properties 
of  the  powers  of  numbers,  New  method  for  square-roots.  Tables 
of  squares,  cubes,  reciprocals,  square-roots  and  cube-roots. — ii. 
Density  of  the  earth,  greatest  attraction  on  the  side  of  a hill. 
Cubic  etjualions  and  infinite  series.  Sines,  tangents,  and  secants 
of  circular  arcs.  Spheroids  and  conoids.  Comparison  of  curves, 
Cube-root  of  binomial  radicals.  History  of  algebra.  New  experi- 
ments in  gunnery. — iii.  New  experiments  in  gunnery  con- 
tinued, A new  gunpowder  eprouvette.  The  air’s  resistance  to 
bodies  in  motion.  Theory  and  practice  of  gunnery.  Solution  of 
miscellaneous  questions. 

Huyghens,  C.  Opuscula  posthuma.  Amste- 
lodami,  1728.  2 v.  in  i.  4'*. 

Contents: — i.  Dioptrica,  De  formandis  vitris. — ii.  De  coronis 
et  parheliis,  De  motu  corporum  ex  percussione,  De  vi  centri- 
fuga,  Dc.scriptio  automat!  planetarii. 

Bd.  with  his  “ Opera  rehqua.” 

Opera  reli<iua.  [Edited  by  s’Gravesande.] 

Amstelodami,  1728.  4«. 

Called  “Tom.  I.” 

Opera  varia.  [Fklited  by  s’Gravesande.] 

Lugduni  Batavorum,  1724.  40. 

Jacobi,  K.  G.  J.  Mathematische  Werke.  Bd. 
ii.,  iii.  Berlin,  1851-71.  2 v.  40. 

Contents: — ii.  Notiz  iiber  A.  (Jopel,  Abhandlungen,  Briefe. 
— iii.  Abhandlungen,  Bruchstiicke. 

Each  vol.  has  also  a title-page  in  Latin: — “Opuscula 
mathematica:”  ii.  edited  by  (J.  Lejeune  Dirichlet;  iii.  by  C. 
W.  Borchardt. 

Kepler,  J.  Opera  omnia  edidit  C.  Frisch. 
Frankofurli  a.  M.,  etc.,  1858-71.  8 v.  8‘>. 

Contents:  — i.  Mysterium  cosntographicum.  Apologia  Ty- 
chonis,  Literae  de  rebus  astrologicis,  Calcndariiim  (1598,  1599), 
De  fundamentis  astrologiae.  Judicium  de  Trigono  igneo,  Prog- 
nosticun  (1605),  Bericht  von  newen  Stern  (1604),  Prognosticun 
(1618,  1619),  Respon.sio  ad  Roeslinum,  Tertius  interWniens.  — 
ii.  Astronomia;  pars  optica,  De  tubo  optico,  De  siella  nova  in 
Serpentario,  lie  Stella  nova  in  Cygno,  Phaenomenon  singularc 
seu  Mercurius  in  sole  visus. — iii.  Astronomia  nova,  Fragmenta 
studiorum  ustronomicorum,  Epistola  de  solis  deli(|uiu. — iv.  De 
calendario  Gregoriano,  De  temporis  initio,  Chronologia  Judmo- 
ruin,  etc..  Ex  Petavii  libro  de  doctrina  temporum,  lie  Christi 
vero  anno  natalitio,  Bericht  vom  Geburt.sjahr  Christi,  Responsio 
ad  Sethum  Calvisium,  De  vero  anno  quo  Dei  filius  humaiiaiu 
naturam  assumsit,  Eclogac  chronicac,  Kanoncs  pucriles,  Sy- 


i8 


WO R ICS  RELATING  TO  MATHEMATICS. 


nopsis  aerarum  usualium,  Stereometria  doliorum.  — v.  Har- 
monices  mundi  libri  v.,  Cl.  Ptolemaei  Harmonicorum  liber  iii., 
Apologia  adversus  demonstrationem  Roberti  de  Fluctibus, 
Auszug  auss  der  Messe-Kunst  Archimedis,  De  mensuris, 
Mensurae  civitatis  Ulmensis,  Machina  hydraulica. — vi.  Epi- 
tome astronomiae  Copernicanae,  Tabulae  Rudolphinae,  Con- 
sideratio  observatlonum  Regiomontani  et  Waltheri. — vii.  Von 
dem  Kometen  1607,  De  cometis,  Tychonis  Brahei  Hyperas- 
pistes,  Chilias  logarithmorum,  Praecepta  ex  tabulis  Rudolphi- 
nis,  Ex  ephemeridum  volumine,  Responsio  ad  epistolam  J. 
Bartschii,  De  raris  mirisque  1631  phaenomenis,  Responsio  ad 
epistolam  Terrentii,  Discurs  von  der  grossen  Conjunction  1623, 
De  nive  sexangula,  Excerpta  ex  MSS.  Pulkoviensibus. — viii. 
I.  Bericht  von  Finstemussen,  Astronomia  lunaris,  Appendix 
geographica,  Plutarchus  de  facie  in  orbe  lunae,  Unterricht  vom 
Sacrament,  Carmina  solemnia.  Collectanea  ex  codicibus  Pulko- 
viensibus, Judicium  matris  Kepleri. — viii.  2.  Historia  astro- 
nomiae seculo  xvi.,  Kepleri  vita  [et  epistolae],  De  Kepleri 
familia,  De  amicis  Kepleri,  Kepleri  studia.  Index  rerum. 

Vol.  viii.  lacks  title-page,  in  vol.  viii.  part  2. 

Lagrange,  J.  L.  de.  CEuvres,  publi^es  par  J.  A, 
Serret.  Paris,  1867-77.  7 v.  40. 

Contents:  — i.  Vie  de  Lagrange  par  Delambre,  Mhnoires 
extraits  des  recueils  de  V acadimie  de  Turin:  — De  maximis 
et  minimis,  L’integration  d’une  equation  difFerentielle  a diffe- 
rences finies.  La  nature  et  la  propagation  du  son,  Les  maxima 
et  les  minima  des  formules  integrales  indefinies.  Solutions  des 
problemes  de  dynamique,  de  calcul  integral  et  d’arithmetique. 

— ii.  Mhnoires  extraits  des  recueils  de  V acadimie  de  Turin: 

— L’integration  de  quelques  equations  differentielles.  La  me- 
thode  des  variations,  Le  mouvement  d’un  corps  qui  est  attire 
vers  deux  centres  fixes.  La  figure  des  colonnes.  La  methode  de 
prendre  le  milieu  entre  les  resultats  de  plusieurs  observations. 
La  percussion  des  fluides,  Une  nouvelle  methode  de  calcul  inte- 
gral pour  les  differentielles  affectees  d’un  radical  carre. — Md- 
moires  extraits  des  recueils  de  Tacade'mie  de  Berlin  : — Les 
courbes  tautochrones,  Le  passage  de  Venus  du  3 juin  1769,  La 
solution  des  probRmes  indetermines  du  second  degr6.  La  reso- 
lution des  equations  numerique.s,  Nouvelle  methode  pour  re- 
soudre  les  problemes  indetermines  en  nombres  entiers.  — iii. 
Me^noires  extraits  des  recueils  de  T academic  de  Berlin  : — 
Nouvelle  methode  pour  resoudre  les  equations  litterales.  La 
force  des  ressorts  plies,  Le  probleme  de  Kepler,  L’ elimination 
des  inconnues  dans  les  equations,  Les  tautochrones.  Demon- 
stration d’un  theoreme  d’arithmetique.  La  resolution  algebrique 
des  equations,  Theoreme  nouveau  concernant  les  nombres  pre- 
miers, U ne  nouvelle  espece  de  calcul  relatif  a la  differentiation 
et  a I’integration  des  quantites  variables.  La  forme  des  racines 
imaginaires  des  dquations,  Les  refractions  astronomiques,  L’in- 
t^gration  des  equations  a differences  partielles.  Solution  du 
probleme  du  mouvement  de  rotation  d’un  corps,  L’attraction 
des  spheroides  elliptiques.  Solutions  de  quelques  problemes  sur 
les  pyramides  triangulaires,  Recherchas  d’arithmetique.  — iv. 
Menioires  extraits  des  recueils  de  V acaddmie  de  Berlin  : — Les 
integrales  particulieres  des  equations  differentielles,  Le  mouve- 
ment des  nceuds  des  orbites  planetaires,  Recherches  sur  les 
suites  recurrentes,  L’alteration  des  moyens  mouvements  des 
planetes,  Solutions  de  quelques  problemes  d’astronomie  sphe- 
rique,  L’ usage  des  fractions  continues  dans  le  calcul  integral. 
Solution  d’un  probleme  de  geomdtrie.  La  determination  du 
nombre  des  racines  imaginaires  dans  les  equations  litterales, 
Quelques  problemes  de  I’analyse  de  Diophante,  Le  mouvement 
de  plusieurs  corps  qui  d’attlrent  mutuellement.  Reflexions  sur 
I’^chappement,  i.e  probleme  de  la  determination  des  orbites  des 
comctes.  La  thcorie  des  lunettes,  Une  maniere  particuliere 
d’exprimer  le  temps  dans  les  sections  coniques.  Questions 
d’analy.sc  rekitives  a la  theorie  des  integrales  particulieres.  La 
construction  des  c.artcs  geographiques.  La  theorie  du  mouve- 
ment des  lluidcs.  — v.  Alemoires  extraits  des  recueils  de 
T academic  de  Berlin  : — '1  hdorie  de  la  libration  de  la  lune, 
'I  heoric  des  variations  sdculaires  des  ^l(Jments  des  planetes, 
'I’h^orie  des  variations  pdriodiques  des  mouvements  des  pla- 
nctes,  Sur  les  variations  seculaires  des  mouvements  moyens 
des  i)lanetcs,  Rectification  des  methodes  pour  I’integration  des 
Equations  du  mouvement  des  iilanetes,  Sur  une  methode  parti- 
culierc  d’approximation  et  d’intcrpolation,  Sur  une  nouvelle  pro- 
priete  du  centre  de  gravity,  M6thodc  pour  int^grer  les  equations 
aux  differences  partielles  du  premier  ordre,  'I'heorie  geome- 
triqiie  du  mouvement  des  aphelies  des  jilanetes,  Sur  la  maniere 
dc  rectifier  deux  endroits  des  Brincipes  de  Newton,  Sur  une 
question  concernant  les  anniiit^s,  Sur  I’expression  du  termc 
general  des  .series  recurrentes,  Sur  les  sph6roidcs  elliptiques, 
Sur  la  methode  d’interpolation,  Sur  I’dquation  siiculaire  de  la 
lune,  Sur  une  loi  gdn^rale  d'oplique.  — vi.  Mdmoires  extraits 
des  recueils  de  T academic  des  sciences  de  Paris  : — Recherches 
sur  la  K'jration  dc  la  lune,  Recherches  sur  les  indgalit^s  des 
satellites  de  Jujiiter,  Sur  le  probleme  des  trois  corps,  Sur  1’^- 

uation  sdculaire  de  la  lune,  Sur  la  theorie  des  perturbations 

es  cometes,  Formation  dcs  tables  des  planetes  d’apres  les  ob- 
servations, Sur  les  Equations  s6culaires  dcs  mouvements  dcs 
nocuds,  etc.,  Sur  la  theorie  des  variations  des  6Rincnts  dcs  pla- 
netes,  etc.,  Sur  la  th6orie  g6n6rale  de  la  variation  des  constantes 
arbitraircs.  — vii.  Additions  aux  tldmenU  d’algebre  d’Euler, 


Le9ons  elementaires  sur  les  mathematiques,  Essai  d’analyse 
numerique  sur  la  transformation  des  fractions,  Sur  le  principe 
des  vitesses  virtuelles.  Discours  sur  I’objet  de  la  theorie  des 
fonctiqns  analytiques,  Solutjons  de  quelques  problemes  relatifs 
aux  triangles  spheriques,  Eclaircissement  d’une  difficulte  sin- 
guliere  qui  se  rencontre  dans  le  calcul  de  I’attraction  des  sphe- 
roides tres-peu  differents  de  la  sphere,  Sur  I’origine  des  co- 
metes, Sur  la  methode  des  projections  pour  le  calcul  des 
eclipses  de  soleil  ou  d’etoiles,  Sur  le  calcul  des  eclipses  su- 
jettes  aux  parallaxes,  Nouvelle  methode  pour  determiner  I’or- 
bite  des  cometes.  Nouveau  moyen  de  determiner  les  longitudes 
de  Jupiter  et  de  Saturne,  Sur  la  diminution  de  I’obliquite  de 
I’ecliptique,  Sur  les  interpolations,  Valeurs  des  variations  an- 
nuelles  des  elements  des  orbites  des  planetes.  Determination 
des  elements  de  I’orbite  d’une  planete  ou  d’une  comete,  etc., 
Essai  d’arithmetique  politique,  Sur  un  paradoxe  qu’on  ren- 
contre dans  les  formules  de  I’attraction  d’un  point  vers  une  sur- 
face spherique  quelconque,  Sur  la  metaphysique  du  calcul  in- 
finitesimal, Formules  relatives  au  mouvement  du  boulet  dans 
I’interieur  du  canon. 

Landen,  J.  Mathematical  lucubrations.  Lon- 
don, 1755.  40. 

Mathematical  memoirs.  London,  1780-89. 

2 V.  40. 

Vol.  i.  has  a separately  paged  appendix. 

Contents  : — i.  Equilibriums,  Ellipsis  and  hyperbola.  Descent 
of  a body  in  a circular  arc.  Centrifugal  force  of  the  particles  of 
a body.  Sums  of  series.  New  property  of  the  C5rcloid,  Motion 
of  a body  in  the  same  plane.  Motion  of  a body  in  a spherical 
surface.  Motion  of  a body  m any  variable  plane.  Tables  of  theo- 
rems for  the  calculation  of  fluents. — ii.  Motion  of  a body  re- 
volving on  a horizontal  plane.  Rotatory  motion  of  a sphere, 
Rotatory  nriotiqn  of  bodies.  Precession  of  the  equinoxes.  Rota- 
tion of  bodies  in  free  space.  Roots  of  a cubic  equation. 

Laplace,  P.  S.  de.  CEuvres.  Paris,  1843-47. 
7 V.  4*’-  . _ 

Contents  : — i.  Mecanique  c6!este,  livres  i.,  ii. — ii.  Mecanique 
celeste,  livres  iii.-v. — iii.  Mecanique  celeste,  livres  vi.,  vii. — 
iv.  Mecanique  celeste,  livres  viii.-x.  — v.  Mecanique  celeste, 
livres  xi.-xvi.  — vi.  Systeme  du  monde.  — vii.  Theorie  des 
probabilites. 

Leibnitz,  G.  W.  von.  Mathematische  Schrif- 
ten,  herausgegeben  von  C.  I.  Gerhardt.  Berlin 
[Halle],  1849-63.  7 V.  in  8.  8®. 

le  Abth.  Bd.  i.-iv.  Briefwechsel ; 26  Abth.  i.-iii.  Mathema- 
tische Abhandlungen. 

Leurchon,  J.  Mathematical  recreations  : or,  A 
collection  of  many  problems  extracted  out  of  the 
ancient  and  modern  philosophers  as  secrets  and  ex- 
periments in  arithmetick,  geometry,  cosmography, 
horologiography,  astronomy,  navigation,  opticks, 
not  vulgarly  manifest  till  now ; written  first  in 
Greek  and  Latin,  lately  compil’d  in  French  by  H. 
Van  Etten  and  now  in  English  ; whereunto  is  added 
the  description  and  use  of  the  double  horizontal  dyal 
and  the  general  horological  ring,  invented  and  writ- 
ten by  W.  Oughtred.  London,  1674.  sm.  8®. 

“The  author  calls  himself  Van  Etten,  but  his  real  name  was 
Father  J.  Leurchon,  a Jesuit.  This  work  contains  very  curi- 
ous problems,  viz.  ‘ Comment  on  peut  charger  un  canon  sans 
poudre’  (b>  steam  or  heated  air),  and  several  arithmetical 
questions.” — See  the  Cdtalogue  0/  the  library  of  M.  Libri, 
no.  6137. 

[Mansfield,  J.]  Essays,  mathematical  and 
physical.  New  Haven,  n.  d.  8®. 

Contents: — Of  negative  quantities  in  algebra. — Goniomet- 
rical  properties.  — Nautical  astronomy. — Of  the  longitude.— 
Orbicular  motion.  — Investigation  of  the  loci.  — Fluxionary 
analysis.  — Theory  of  gunnery.  — Theory  of  the  moon. 

Marolois,  S.  Opera  mathematica,  ou  CEuvres 
mathematiques  traictans  de  geometrie,  perspective, 
architecture  et  fortification,  nouveau  reueu,  aug- 
mentee  et  corrigee  par  A.  Girard.  Amsterdam, 
1628.  fo. 

Maurolycus,  F.  Opuscula  mathematica,  nunc 
primum  in  lucem  tedita.  Venetijs,  1575.  4®. 

Newton,  I.  Opera  qute  exstant  omnia  commen- 
tariis  illustrabat  S.  Horsley.  Londini,  1779-85. 
5 V.  40. 

Contents: — i.  Arithmetica  universalis,  De  rationibus.  Analy- 
sis, Ex  epistolis  ad  series  fluxionesque  pertinentia,  De  qua- 
dratura  curvarum,  Geoinetria  analytica,  Methodus  differentialis, 
F.numeratio  linearum  tertii  ordinis. — ii.  Brincipiorum  lib.  i.,iL 
— iii.  Brincipiorum  lib.  iii.^  De  rnundi  systemate,  Theoria  lunae, 
Lectioncs  opticac,  Ilorsleii  de  viribus  centralibus.  — iv.  Optics, 


CORNELL  UNIVERSITY. 


19 


Letters  on  natural  philosophy,  Letter  to  Boyle  on  gravitation, 
Tabula:  caloruin  ct  refraction uin,  De  probleinatis  Bernouillianis, 
The  motion  of  a body  urged  by  two  central  forces.  Four  letters 
to  Bentley,  Commerciuin  epistolicum,  Additamenta  ex  His- 
toria  Huxionum  Raphsoni.  — v.  Chronology,  A short  chronicle. 
Observations  upon  the  Prophecies,  Two  notable  corruptions  of 
Scripture. 

Newton,  I.  Opuscula  mathematica,  philosophica 
et  philologica;  collegit  partimque  Latin^  vertit  ac 
recensuit  J.  Castillioneus.  Lausannee,  etc.y  1744. 

3 V.  4"’- 

Contents:  — i.  Analysis  per  aequationes  numero  terminorum 
infinitas,  Methodus  fluxionum  serierum  infinitarum,  De  quad- 
rature curvarum,  Enumeratio  linearum  tertii  ordinis,  Methodus 
differentialis,  Solutio  duorum  problematum,  a Bemoullio  propo- 
sitorum,  Epistolse.  — ii.  De  mundi  systemate,  Lectioiies  opticae, 
Scripta  inserta  Transactionibus  philosophicis,  De  natura  acido- 
rum,  Scala  graduum  caloris  & frigoris. — iii.  Brevla  chronica, 
Chronologia  veterum  regnorum.  Ad  Danielis  vaticinia  observa- 
tiones,  De  Judaeorum  cubitis. 

Nicholson,  P.  Analytical  and  arithmetical 
essays  ; consisting  of  continued  fractions — figurable 
numbers ; an  entire  new  method  of  the  transforma- 
tion of  equations  ; to  which  are  added  essays  on  the 
method  of  finite  differences  — indeterminate  equa- 
tions ; and  the  combinatorial  analysis.  London, 
1821.  80. 

Ozanam,  J.  Recreations  mathematical  and  phys- 
ical, laying  down  and  solving  many  problems  of 
arithmetick,  geometry,  opticks,  gnomonicks,  cos- 
mography, mechanicks,  physicks  and  pyrotechny; 
done  into  English.  London,  1708.  8°. 

Pascal,  B.  Qiuvres  completes.  Paris,  1864-65. 
3 V.  sm.  8®. 

Contents:  — i.,  ii.  Theological  and  viiscella7ieous  ivorks. — 
iii.  Physical.  Experiences  touchant  le  vide,  De  I’equilibre  des 
liqueurs,  De  la  pesanteur  de  I’air.  Mathetnatical.  De  I’csprit 
geomdtrique,  Essais  pour  les  coniques.  Machine  arithmetique, 
Du  triangle  arithmetique,  Des  ordres  num^riques,  Problemes 
sur  la  cycloide,  Histoire  de  la  roulette,  Des  trilignes  rectangles, 
Des  sinus  du  quart  du  cercle,  Des  arcs  de  cercle,  Des  solides 
circulaires,  Traite  gen^rale  de  la  roulette.  Table  analytique. 

Playfair,  J.  Works ; with  a memoir  of  the 
author.  Edinburgh,  1822.  4 v.  8®. 

Contents : — i.  Life,  by  F.  Jeffrey,  The  Huttonian  theory  of 
the  earth.  — ii.  General  view  of  the  progress  of  mathematical 
and  physical  science.  — iii.  Arithmetic  of  impossible  quantities. 
Causes  which  affect  the  accuracy  of  barometneal  measurements, 
Astronomy  of  the  Brahmins,  Borisms,  'i'rigonometrical  tables 
of  the  Brahmins,  Theorems  relating  to  the  figure  of  the  earth, 
Solids  of  greatest  attraction.  Progress  of  heat  in  spherical 
bodies,  etc.  — iv.  Lives  of  .M.  Stewart,  J.  Hutton  and  J.  Robi- 
son, I'rigonometrical  survey  of  England,  Reviews  of  Alechtiin 
et  Delainbre  (Systeme  m^tnque),  Laplace  (Mecanique  celeste), 
Le  compte-rendu  par  I’institut  de  I'rance,  Lambton  (Measure- 
ment of  an  arch  of  the  meridian),  Laplace  (Essai  sur  les  proba- 
bilites. 

Rieinaiin,  B.  Gesammelte  matliematische 
Werke  und  wissenschafllicher  Nachlass;  heraus- 
gegeben  von  11.  Weber.  Leipzig,  1876.  1. 

Salusbury,  T.  Matliematical  collections  and 

translations.  London,  1661.  2 v.  f^*. 

Contents  : — i.  Galileus  his  system  of  the  world,  Gallleus,  his 
epistle  to  the  (>rand  Dutchesse  Mother,  concerning  the  author- 
ity of  holy  Scripture  in  jihilosophical  controversies,  J.  Kep- 
lerus,  his  reconcilings  of  Scripture  texts,  &c.,  Didacus  a Stunica 
his  reconcilings  of  Scripture  texts,  ^!:c.,  1*.  A.  Foscarinus,  his 
cjiistle  to  Father  Fantonus,  reconciling  the  authority  of  Script- 
ure, and  judgments  of  divines  alledged  against  this  system. — 
ii.  H.  Castellus,  his  discourse  of  the  mensuration  of  running 
waters. 

Each  treatise  has  a separate  title. 

Schooteu,  F%  van.  Mathematische  oeffenin- 


gen  begrepen  in  vijf  boecken.  Amsterdam,  1659- 
60,  4«. 

Each  book  has  a separate  title-page. 

Co7itcnts : — i.  Verhandeling  van  vijftig  arlthmetische  en 
vijftig  gcomctrische  voorstellen.  1659. — Ontbinding  der 
simpele  meet-konstige  werck-stucken.  i66o. — iii.  Apollonii 
Pergaei  herstelde  vlacke  plaetsen.  1660. — iv.  Tuych-werck- 
elijcke  beschrijving  der  kegel-sneden  op  een  vlack.  1660.  — v. 
Dertich  afdeelingen  van  gemengde  stoffe ; waer  bij  gevougt  is 
een  tractat,  handelende  van  reeckening  in  speelen  van  geluck, 
door  C.  Hugenius.  1660. 

Exercitationvm  mathematicarum  libri  quin- 

que.  Lvgd.  Batav.,  1657.  40. 

Above  is  bastard  title,  except  date  and  place.  Each  book 
has  a separate  title-page. 

Contents: — i.  Propositionum  arithmeticarvm  et  geometrica- 
rvm  centuria.  1657. — ii.  Constructio  problematum  simplicium 
geometricorvm.  1656.  — iii.  Apollonii  Pergaei  loca  plana  res- 

tituta.  1656 iv.  Organica  conicarum  sectionum  in  piano 

descriptio.  1657. — v.  Sectiones  triginta  miscellaneae ; quibus 
accedit  C.  Hugenii  tractatus,  De  ratiociniis  in  ludo  aleae.  1657. 

Simpson,  T.  Mathematical  dissertations  on  a 
variety  of  physical  and  analytical  subjects.  London, 
1743-  4^"- 

Stevin,  S.  Les  oeuvres  mathematiques,  ou  sont 
inser^es  les  memoires  math^matiqves,  le  tout  reveu, 
corrige  & augmente  par  A.  Girard.  Leyde,  1634. 
2 V.  in  I.  fo, 

■Vol.  ii.  has  no  title-page. 

Tacquet,  A.  Opera  mathematica.  Antverpioe, 
1669.  fo. 

Verdet,  E.  QLuvres ; publi^es  par  les  soins  de 
ses  6Rves.  Paris,  1868-73.  ^ 'v*  in  9.  8°. 

Co7itetits  : — i.  Notes  et  memoires.  1872. — ii.,  iii.  Cours 
de  physique;  publid  par  E.  Fernet.  1868-69.  2 v. — iv. 

Conferences  de  physique;  publiees  par  D.  Gernez.  1872. 
apt. — V.,  vi.  Lefons  d’optique  physique;  publi6es  par  A. 
Lcvistal.  1869-70.  2 V. — vii.,  viii.  Theorie  mecanique  de  la 

chaleur;  pubh6e  par  MM.  Prudhon  et  Violle.  1868-72.  2 v. 

Vieta,  F.  Opera  mathematica,  in  unum  volumen 
congesta,  ac  recognita;  opera  atque  studio  P'.  ^ 
Schooteu.  Lvgdvni  Batavorvm,  1646.  fo. 

Wallis,  J.  Opera  mathematica.  O.xonicc,  1695- 
99.  3 V.  fo. 

Cofitents  : — i.  Oratio  inauguralis,  Mathesis  universalis,  scu 
Opus  arithmeticum,  Adversus  M.  Meibomii  de  proportionibus 
dialogum,  De  sectionibus  conicis,  Arithmetica  infmitorum, 
Eclipsis  Solaris  observatio,  2 Aug.  1654,  De  cycloide  tractatus, 
Tractatus  episiolaris,  ad  D.  Hugenium,  Mechainca.  1695. — 
ii.  De  algebra  tractatus,  cum  variis  appendicibus,  1693. — iii. 
Claudii  I’tolemmi,  Porphyrii,  Manuelis  Bryennii  Harmonica, 
Archimedis  Arenarius  & Dimensio  circuli,  cum  Eutocii  Com- 
mentario,  Aristarchi  Samii,  De  magnitudinibus  & distantiis 
solis  & lima;  liber,  Pappi  Alexandrini  libri  secundi  fragmentum, 
cpistola:  et  opu.scula  miscellanea.  1699. 

Wilkins,  J.  Mathematical  and  philosophical 
works.  T'o  which  is  prefix’d  the  author’s  life. 
London,  1708.  5 pt.  in  i v.  8®. 

Each  part  has  a separate  title-page. 

Contents  : — i.  The  discovery  of  a new  world ; or  A di.s- 
course  tending  to  prove  that  ’tis  probable  there  may  be  another 
habitable  world  in  the  moon. — ii.  'I'hat  ’tis  probable  our  earth 
is  one  of  the  jilanets.  — iii.  Mercury,  or  'I'he  secret  and  swift 
messenger.  — iv.  Mathematical  magick. — v.  An  abstract  of 
his  essay  towards  a real  character  and  a philosophical  language. 

Same.  London,  1802.  2 v.  8«. 

Young,  J.  R.  Mathematical  dissertations  for 
the  use  of  students  in  the  modern  analysis  ; with 
improvements  in  the  practice  of  Sturm’s  theorem, 
in  the  theory  of  curvature,  and  in  the  summation  of 
infinite  series.  London,  1841.  8®. 


20 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


Courses  and  General  Works  on 
Mathematics. 

Belidor,  B.  F.  de.  Nouveau  cours  de  math6- 
matique  a I’usage  de  I’artillerie  et  du  genie.  Nou- 
velle  ed.,  corrig^e  & considerablement  augmentee. 
Paris,  1757.  4®.  pp.  xxxii.,  656.  Plates. 

Bezout,  E.  Cours  de  math^matiques  k I’usage 
des  gardes  du  pavilion  et  de  la  marine.  Paris, 
an  iii.  [1767].  5 v.  8®. 

Contents: — i.  Arithm6tique,  1767. — ii.  G6om6trie et  trigo- 
nometrie  rectiligne  et  spherique.  1771. — iii.  Algebre.  1768. 

— iv.  Mechanique  et  principes  de  c^cuL  1767.  2 v. 

Bjorn  Gunnlaugsson.  Tolvi'si  samantekin  a6 

tilhlutun  og  a kostnab  bins  islenzka  bokmentafb- 
lags.  Reykjavik,  1865.  8®.  f.  (i),  pp.  400. 

Bjom  Gunnlaugsson  is  the  distinguished  Icelandic  topog- 
rapher. 

Blum,  A.  Cours  complet  de  mathematiques  a 
I’usage  des  aspirants  a toutes  les  ecoles  du  gouverne- 
ment.  Paris,  18^-45.  2 v.  8®. 

Contents:  — i.  Arithmetique  et  algebre  61ementaire.  1844. 

— ii.  Geometrie  elementaire,  trigonometrie  rectiligne,  trigo- 
nometrie  spherique,  elements  de  geometrie  descriptive.  1845. 

Camus,  C.  E.  L.  Cours  de  math^matique. 
Paris,  1749-52.  3 pt.  in  4v.  8®. 

Contents:  — 1.  Elemens  d’arithmetique.  1749. — ii-  Siemens 
de  geometrie  theorique  et  pratique.  1750. — lii.  Elemens  de 
mechanique  statique.  1751-52.  2 v. 

Cape,  J.  A course  of  mathematics  principally 
designed  for  the  use  of  students  in  the  East  India 
company’s  military  college  at  Addiscombe.  5th  ed. 
London,  1857.  2 v.  8®. 

Contents: — i.  Arithmetic,  logarithms,  algebra,  geometry, 
trigonometry,  mensuration.  — ii.  Curves  and  surfaces,  mechan- 
ics, calculus,  astronomy. 

Capmany,  G.  de,  y B.  Bails.  Tratados  de 
mathematica.  Madrid,  1772.  4®.  ff.  (ii),  pp. 

404- 

Contains  arithmetic,  geometry,  plane  trigonometry  and  prac- 
tical geometry. 

[Castel,  L.  B.]  Math^matique  universelle 
abr^gee ; ou  Ton  donne  une  notion  g6n6rale  de  toutes 
les  sciences  mathematiques,  & une  connoissance 
particulibre  des  sciences  geometriques.  Paris, 
1728.  4®.  pp.  X.,  f.  (i),  pp.  672.  Tables. 

Catalan,  E.  Manuel  des  candidats  a I’Ecole 
polytechnique.  Paris,  1857-58.  2 v.  sm.  8®. 

Contents  : — i.  Algebre,  trigonometrie,  geometrie  analytique 
k deux  dimensions.  1857.  — ii.  Geometrie  analytique  a trois 
dimensions,  mecanique.  1858. 

Day,  J.  A course  of  mathematics,  containing 
the  principles  of  plane  trigonometry,  mensuration, 
navigation  and  surveying.  New  Haven,  etc.,  1851. 
8®.  ff.  (3),  pp.  155,  ff.  (2),  pp.  96,  ff.  (2),  pp.  1 19. 
(2  copies.) 

Dechales,  C.  F.  M.  Cursus  seu  mundus  mathe- 
maticus ; editio  altera  ex  manuscriptis  authoris 
aucta  & emendata,  operd  & studio  A.  Varcin.  Lug- 
duni,  1690.  4 V.  fo. 

Co7itents  : — \.  De  progressv  matheseos,  de  illustribus  math- 
cmaticis,  Euclidis  libri  xiv,  'I'heodosii  spha;rica,  de  sectioni- 
bus  conicis,  arithmetica,  trigonometria,  algebra,  hypotheseon 
Cartesiananim  rcfutatio. — ii.  Geoinetria  practica,  mechanice.s, 
sUitica,  gcogrnphia,  de  niagnete,  architectonica  civilis,  ars  tig- 
naria,  de  laijiduni  sectione.  — iii.  Architcctura  nulitaris,  hydro- 
statica,  de  fr)ntibus  et  fluviis,  de  in.achinis  hydraiilicis,  de  navi- 
gatione,  optica,  perspectiva,  catoptrica,  dioptrica. — iv.  Mu- 
sica,  pyrotechnia,  astrolabiuin,  gnomonica,  astronomia,  astro- 
logia,  de  metcoris,  kalendarium. 

Dewan  Kdnh  Ji.  Khazdnat  ul  ilm,  or  The 
trea.sury  of  science,  being  a course  of  instruction  in 
the  various  branches  of  mathematics.  Calcutta, 
1837.  4®.  ff.  (2),  pp.  (873). 

Ihc  title-page  only  is  m English;  the  text  is  in  Persian. — 
See  Brunet,  iL  663. 


Emerson,  W.  Cyclomathesis,  or  An  easy  in- 
troduction to  the  several  branches  of  the  mathemat- 
ics, being  principally  designed  for  the  instruction  of 
young  students,  before  they  enter  upon  the  more 
abstruse  and  difficult  parts  thereof.  Introduction. 
London,  1763.  8®.  pp.  xvi. 

A general  title  to  the  works  of  Emerson  in  8®. 

Francoeur,  L.  B.  Cours  complet  de  mathema- 
tiques pures ; ouvrage  destinb  aux  elbves  des  bcoles 
normale  et  polytechnique  et  aux  candidats  qui  se 
preparent  a y etre  admis.  4®  ed.,  revue  et  aug- 
ment^e.  Paris,  1837.  2 v.  8®.  Plates. 

Contents:  — i.  Arithmetique,  algebre  elementaire,  geometrie. 
— ii.  Algebre  superieure,  analyse  a trois  dimensions,  calcul 
differentiel  et  integral,  calcul  des  differences. 

A complete  course  of  pure  mathematics; 

translated  from  the  French  by  R.  Blakelock.  Cam- 
bridge, etc.,  1829-30.  2 V.  8®. 

Contends : — i.  Arithmetic,  elementary  algebra,  geometry, 
analytical  geometry.  1829. — ii.  Algebra,  analysis  of  three 
dimensions,  calculus.  1830. 

Goodwin,  H.  An  elementary  course  in  mathe- 
matics, designed  principally  for  students  of  the  uni- 
versity of  Cambridge.  3d  ed.  Cambridge,  etc., 
1849.  8®.  pp.  xvi.,  528. 

Haller  von  Hallerstein,  F.,  baron  von.  Lehr- 
buch  der  Elementar-Mathematik,  fiir  die  durch  al- 
lerhochste  Verordnung  vom  4.  Feb.  1844  fest-gesetzte 
Eintritts-  oder  Portepeefahnrichs  - Priifung  in  der 
koniglich  preussischen  Armee  bearbeitet.  2®  Aufl. 
Berlin,  1851.  8®.  pp.  xii.,  484. 

Hutton,  C.  A course  of  mathematics ; com- 
posed for  the  use  of  the  royal  military  academy; 
with  many  corrections  and  improvements,  by  O. 
Gregory.  London,  1831-32.  3 v.  8®. 

Contents:  — i.  Arithmetic,  logarithms,  algebra,  geometry, 
loth  ed.  1831.  — ii.  Plane  trigonometry,  mensuration,  land  sur- 
veying, conic  sections,  statics,  dynamics,  hydrostatics,  pneu- 
matics, fluxions,  etc.  loth  ed.  1831.  — iii.  Conic  sections,  iso- 
perimetry, trigonometry,  polygonometry,  equations,  curves, 
gunnery,  promiscuous  exercises,  etc.  5th  ed.  1832. 

Same.  12th  ed.,  with  considerable  altera- 
tions and  additions  by  T.  S.  Davies.  London, 
1841-43.  2 V.  8®. 

Contents: — i.  Arithmetic,  algebra,  geometry,  plane  trigo- 
nometry, mensuration.  1841. — ii.  Spherical  trigonometiy, 
conic  sections,  transversals,  co-ordinates,  lines  of  the  second 
order,  curves,  calculus.  1843. 

Solutions  of  the  principal  questions  of  Dr. 

Hutton’s  Course  of  mathematics  ; by  T.  S.  Davies. 
London,  1840.  8®.  pp.  xii.,  551- 

Lamy,  B.  Elemens  des  mathematiques,  ou 
Traits  de  la  grandeur  en  g^n^ral  qui  comprend 
I’arithmetique,  I’algebre,  I’analyse,  etc.  3®  ed.,  re- 
veue  & augmentee.  Amsterdam,  1692.  12®.  pp. 

xi.,  416,  ff.  (4). 

Lorenz,  J.  F.  Grundriss  der  reinen  und  ange- 
wandten  Mathematik,  oder  Erster  Cursus  der  ge- 
sammten  Mathematik.  Helmstedt,  1799-1837. 
2 Theile  in  3 v.  8®. 

Contents:  — i.  i.  Die  reine  Mathematik:  6e  Ausg.,  heraus- 
gegeben  von  C.  L.  Gerling.  1837.  — i.  2.  Grundlehren  der  all- 
gemeinen  Grbssenberechnung;  6«  Ausg.,  herausgegeben  von 
H.  Birnbaum.  1835. — ii.  Die  angewandte  Mathematik;  2* 
Ausg.  1799. 

Ludlam,  W.  The  rudiments  of  mathematics. 
4th  ed.  London,  1794.  8®.  pp.  vi.,  226. 

Mathematical  sciences  (The) : including  sim- 
ple arithmetic,  algebra,  and  the  elements  of  Euclid 
by  J.  R.  Young ; planes,  spherical  trigonometry, 
series,  logarithms  and  mensuration  by  J.  F.  Twis- 
den  ; and  practical  geometry  by  A.  Jardine.  Lon- 
don, 1854.  8®.  ff.  (2),  pp.  viii.,  454. 

Also  with  the  title:  — “Orr’s  circle  of  the  sciences:  the 
mathematical  sciences.” 


CORNELL  UNlVERSri'Y. 


2 


Metius,  A.  Aritlimeticse  libri  clvo  et  geometrijE 
libri  vi.,  in  quibus  etiam  tractatur  trigonometria 
planorvm,  geodacsia,  vsvs  circini  & regvlae  propor- 
tionalis,  architectvra  militaris,  problemata  astrono- 
mica,  sciaterica  horologia;  editio  postrema  priore 
multo  auctior.  Lvgdvni  Batavorvm,  suniptibus 
BonaventnrcB  6^  Abrahami  Elseviriortcni^  1640. 
40.  ff.  (8),  pp.  426,  ff.  (15). 

Lettered  “ Geestevelt” 

Moore,  J.  A mathematical  compendium;  or 
Useful  practices  in  arithmetick,  geometry,  and  as- 
tronomy, geography  and  navigation,  embattelling 
and  quartering  of  armies,  fortification  and  gunnery, 
gauging  and  dyalling.  2ded.  London,  168 1.  120. 

ff.  (12),  pp,  120,  ff.  (89). 

Logarithms  bd.  in  same  vol. 

Muller,  J.  Elements  of  mathematics  ; to  which 
is  prefixed  the  first  principles  of  algebra.  3d  ed., 
improved.  With  a new  treatise  on  perspective. 
London,  1765.  2 v.  in  i.  8®.  pp.  xxxvi.,  312. 

A new  system  of  mathematics  ; to  which  is 

prefixed  the  first  principles  of  algebra.  London, 
1769.  80.  ff.  (2),  pp.  xl.,  92. 

Oiiebar,  A.  B.  A course  of  pure  and  mixed 
mathematics  for  the  use  of  the  Elphinstone  institu- 
tion at  Bombay.  London,  1848-50.  2 v.  120. 

Contents:  — Arithmetic,  algebra,  geometry,  trigonometry, 
difterential  calculus,  mechanics,  hydrostatics,  optics  and  as- 
tronomy. 

Sauri,  or  Saury, , Pabbe.  Cours  complet 

de  mathemaliques.  Paris,  1774.  5 v.  8®. 

Contents: — i.  Calcul,  geometrie. — ii.  Sections  coniques, 
courbes  algebriques,  courbes  transcendantes. — iii.  Calcul  diffe- 
rentiel. — iv.  Calcul  integral. — v.  Calcul  integral,  calcul  des 
variations,  problemes  physico-mathdmatiques. 

Schott,  K.  Cursus  mathematicus,  sive  absoluta 
omnium  matheinaticarum  disciplinarum  encyclopae- 
dia, in  libros  xxviii.  digesta,  Bambergoe,  1677.  f®. 

ff.  (12),  pp.  660,  ff.  (28). 

Ward,  J.  The  young  mathematician’s  guide, 
being  a plain  and  easie  introduction  to  the  mathe- 
maticks,  in  five  parts.  London,  1709,  8®.  ff.  (4), 

PP-  45I+- 

Webber,  S.  Mathematics  compiled  from  the 
best  authors.  2d  ed.  Cambridge,  [Mass,],  1808. 
2 V,  80, 

Co7itents : — i.  Arithmetic,  logarithms,  algebra,  geometry, 
mensuration  of  superficies. — ii.  Mensuration  of  solids,  gauging, 
heights  and  distances,  surveying,  navigation,  conic  sections, 
dialing,  spheric  geometry,  spheric  trigonometry,  spheric  as- 
tronomy. 

Wells,  E,  The  young  gentleman’s  course  of 
mathematicks,  containing  tlie  more  useful  elements 
of  arithmetick,  geometry,  trigonometry,  mechanicks, 
opticks,  astronomy,  chronology,  dialling.  London, 
1713-36-  3 V.  8«. 

Contents:  — 1.  Arithmetic,  geometry. — ii.  Trigonometry  & 
tables,  mechanics,  optics. — iii.  Astronomy,  chronology,  dialling. 

'I'he  general  titles  of  vol.  i.  andii.  are  dated  1714.  Vol.  i.  has 
two  other  title-pages  of  “ the  second  edition  ” dated  1723  ; vol. 
ii.  has  two  title-pages  dated  1713;  vol.  iii.  is  “4th  ed.”,  1736. 

Wolf,  C.  Elementa  matheseos  universoe.  lOdi- 
tio  novissima,  multo  auctior  et  correctior.  Genevae, 
1743-52-  5.V-  4«- 

Contents : — i.  De  methodo  mathematica,  arithmetica,  geo- 
metria,  trigonometria  plana,  elementa  analyscos.  1743. — ii- 
Mechanica,  statica,  hydrostatica,  aerometria,  hydraulica.  1746. 
— iii.  Optica,  perspectiva,  catoptrica,  dioptrica,  sphacrica,  tngo- 
nonietria  sphaerica,  astronoinia.  1747. — iv.  (jeographia,  hy- 
drographia,  chronologia,  gnomonica,  pyrotechnia,  architectura. 
1749.  — V.  De  praecipuis  scriptis  matheiuaticis,  de  studio  math- 
ematico.  1752. 

Correspondence  of  Mathematicians. 

Collins,  J.,  and  others.  Commercium  epistoli- 
cum  J.  Collins  et  aliorum  de  analysi  promota,  etc., 
ou  Correspondance  de  J.  Collins  et  d’autres  savants 


cdl6bres  du  xvii®  sii:cle,  relative  1 ’analyse  sup6- 
rieure,  publide  par  J.  B.  Biot  et  E.  Lefort.  Paris, 
1856.  40.  pp.  XV.,  293 -f-. 

Fuss,  P.  H.,  editor.  Correspondance  math^ma- 
tique  et  physique  de  quelques  c^lebres  geometres 
du  xviiio  si^cle,  pr^c^d^e  d’une  notice  sur  les  tra- 
vaux  de  L.  Euler,  et  publiee  sous  les  auspices  de 
r Academic  imperiale  des  sciences  de  Saint- Peters- 
bourg.  St.  Petersbourg,  1843.  2 v.  8^. 

Contefits  : — i.  Euler  et  Goldbach. — ii.  J.  Bernoulli  pere, 
N.  Bernoulli,  D.  Bernoulli  et  Goldbach. 

A “ Liste  des  ouvrages  de  L. Euler”  is  in  vol.  i. 

Newton,  I.,  and  R.  Cotes.  Correspondence, 
including  letters  of  other  eminent  men,  now  first 
published,  with  an  appendix,  containing  other  un- 
published letters  and  papers  by  Newton ; with 
notes,  by  J.  Edleston.  London,  etc.  1850.  80. 

pp.  xcviii.,  f.  (i),  pp.  316. 


Heretical  or  Eccentric  Literature. 

Davis,  J.  The  measure  of  the  circle ; perfected 
in  Jan.  1845.  Providence,  1854.  8®.  pp.  155+. 

[F.,  G.]  A short  correspondence  with  the  editor 
of  the  Glasgow  mechanics’  magazine,  respecting  a 
method  of  reducing  algebraic  equations  ; by  a friend 
to  science.  Glasgow,  1824.  8«.  pp.  16. 

Lettered  “ Mathematical  pamphlets.” 

Faber,  T.  Mathematical  and  philosophical  man- 
ifesto declaring  numerous  theorems,  problems,  post- 
ulates, corollaries,  growing  out  of  the  extraordinary 
and  most  significant  discovery  of  a lacking  link  in  the 
demonstration  of  the  world-renowned  pythagorean 
problem.  New  York,  1872.  8®.  pp.  34. 

Harris,  J.  The  circle  and  straight  line.  Mon- 
treal, 1875.  4 pt.  in  I V.  80,  and  IHates,  i v. 

Supplementary  note  in  revision,  to  books 

first  and  second.  London,  1877.  8®. 

Parker,  J.  A.  The  quadrature  of  the  circle, 
containing  demonstrations  of  the  errors  of  geometry 
in  finding  the  approximation  in  use,  the  quadrature 
of  the  circle  and  practical  questions  on  the  ([uad- 
raturc,  applied  to  the  astronomical  circles  ; with  an 
appendix.  New  York,  1851.  8^.  pp.  212. 

Smith,  James.  The  geometry  of  the  circle,  and 
mathematics  as  applied  to  geometry  by  mathe- 
maticians, shewn  to  be  a mockery,  delu.sion  and  a 
snare.  Liverpool,  etc.,  1869.  8*^.  pp.  viii.,  405. 

Young,  A.  The  fractional  family,  being  the 
first  part  of  spirit-mathematics-matter.  London, 
etc.,  1864.  8«.  pp.  xvi.,  141. 


Miscellaneous  Applications. 

Cardano,  G.  Opvs  novvm  de  proportionibvs 
nvmerorvm,  motvvm,  pondervm,  sonorvm,  aliarvm- 
qve  rervm  mensurandarum,  proeterea  artis  magiue, 
sive  de  regvlis  algebraicis  liber  vnvs,  totius  arith- 
meticae  thesaurus  item,  De  aliza  regvla  liber.  Ba- 
siled, [1570].  f*’.  ff.  (8),  pp.  271,  163,  ff.  (4),  pp. 

III. 

Chaiion,  H.  Th^orie  math^matique  des  opera- 
tions financieres.  Paris,  1869.  80.  pp.  xvi.,  152, 

69. 

Coriolis,  G.  (G.).  I'h^orie  math^matique  des 
effets  du  jeu  de  billard.  Paris,  1835.  8‘>.  pp. 

vii.-f,  174. 

De  Morgan,  H.  Formal  logic,  or  The  calculus 
of  inference,  necessary  and  probable.  liOndon, 
1847.  80.  pp.  xvi.,  336. 


22 


IVORKS  EE  LA  TING  TO  MA  THEM  A TICS. 


Drobisch,  M.  W.  Quaestionummathematico- 
psychologicarum  specimen  iii.  [Lipsiae,  1837.  ] 40. 
PP-  15- 

Same.  Specimen  iv.  [Lipsiae,  1837.]  4°. 

PP-  24- 

Dupin,  (F.  P.)  C.  Mathematics  practically  ap- 
plied to  the  useful  and  fine  arts ; adapted  to  the 
state  of  the  arts  in  England  by  G.  Birkbeck.  Hali- 
fax, 1854.  80.  f.  (i),  pp,  xvi.,  301. 

Gregory,  O.  Mathematics  for  practical  men, 
being  a commonplace  book  of  pure  and  mixed  math- 
ematics designed  chiefly  for  the  use  of  civil  en- 
gineers, architects  and  surveyors ; enlarged  by  H. 
Law;  4th  ed.,  carefully  revised  and  corrected  by  J. 
R.  Young.  London,  1862.  8®.  pp.  xx.,  392, 

f.  (i),  pp.  106. 

Pliilosopliical  essay  (A)  on  the  game  of  bill- 
iards, wherein  the  theory  is  minutely  examined  upon 
physical  principles,  and  familiarly  exhibited  by  easy 
transitions  from  causes  to  effects,  with  plates  illus- 
trating the  several  propositions  advanced.  By  an 
amateur.  London,  n.  d.  8®.  pp.  59,  4. 

Signed  Philobill. 

RaiiMne,  W.  J.  M.,  editor.  Shipbuilding,  the- 
oretical and  practical  illustrated  by  a series  of  en- 
gravings from  drawings  furnished  by  some  of  the 
most  eminent  British  shipbuilders.  By  I.  Watts, 
W.  J.  M.  Rankine,  F.  K.  Barnes,  J.  R.  Napier. 
London,  etc.^  1866.  f®.  f.  (i),  pp.  xi.-f-,  300. 

Philosophy,  Method,  and  Uses 

{inchiding  works  on  mathe^natical  education}, 

o 

Akerberg,  H.  S.  De  analogia  mathematica. 
Lundoe,  1836.  4®.  f.  (i),  pp.  19. 

Amersfoordt,  J.  P.  Dissertatio  de  axiomatibus. 
Lugduni-Batavorum,  1841.  8®.  ff.  (3),  pp.  iv.,  64. 

Bacon,  R.  Specvla  mathematica,  in  qua  de  spe- 
ciervm  mvltiplicatione,  earundemque  in  inferioribus 
virtute  agitur;  liber  omnium  scientiarum  studiosis 
apprime  vtilis,  editus  opera  & studio  J.  Combachii. 
Francofvrli,  1614.  4®.  ff.  (4),  pp.  83. 

Bd.  with  his  “ Perspectiva.” 

Bailly,  C.  R^forme  de  la  g^om^trie,  livr.  I-5. 
Paris,  1857-58.  8®. 

Barrow,  I.  The  usefulness  of  mathematical 
learning  explained  and  demonstrated,  being  math- 
ematical lectures  read  in  the  publick  schools  at  the 
university  of  Cambridge  ; to  which  is  prefixed  [his] 
oratorical  preface  spoke  before  the  university  on  his 
being  elected  Lucasian  professor  of  the  mathemat- 
ics; translated  by  J.  Kirkby.  London,  1734.  8®. 

pp.  xxxii.,  440,  ff.  (8). 

Beeck  Calkoen,  J.  F.  van.  De  praestantia  et 
utilitate  disciplinae  mathematicae  ad  omnem  in- 
genuam  institutionem.  Trajecti  ad  Rhenum,  1806. 
4®.  pp.  51-f. 

[Berkeley,  G.]  The  analyst;  or  A discourse 
addressed  to  an  infidel  mathematician,  wherein  it  is 
examined  whether  the  object,  principles  and  infer- 
ences of  the  modern  analysis  are  more  distinctly 
conceived  or  more  evidently  deduced,  than  religious 
mysteries  and  points  of  faith  ; by  the  author  of  The 
minute  philosopher.  London,  1734.  8®.  ff.  (4), 

pp.  94. 

Bd.  with  Robins  on  Newton. 

Bernhardt,  . Das  unendliche  nach  der  Stu- 

fenfolge  der  kosmischen  Anschauungen.  Witten- 
berg, 1852.  4®.  f.  (i),  pp.  26. 

Bledsoe,  A T.  The  philosophy  of  mathematics 
with  special  reference  to  the  elements  of  geometry 


and  the  infinitesimal  method.  Philadelphia,  1868. 
12®.  pp.  248. 

Bubendey,  G.  H.  Bemerkungen  fiber  die 
Axiome  in  den  Elementen  des  Euklides.  Hamburg, 
1848.  4®.  f.  (i),  pp.  20. 

Carnot,  L.  N.  M.,  Comte.  Reflexions  on  the 
metaphysical  principles  of  the  infinitesimal  analysis  ; 
translated  by  W.  R.  Browell.  Oxford,  1832.  8®. 

pp.  vi.,  f.  (i),  pp.  132. 

Comte,  A.  The  philosophy  of  mathematics, 
translated  from  the  Cours  de  philosophie  positive 
by  W.  M.  Gillespie.  New  York,  i860.  8®.  pp. 

260. 

Cournot,  A.  A.  De  I’origine  et  des  limites  de 
la  correspondance  entre  I’algebre  et  la  geom^tide. 
Paris,  etc.,  1847.  8®.  pp.  viii.,  399. 

Davies,  C.  The  logic  and  utility  of  mathemat- 
ics, with  the  best  method  of  instruction  explained 
and  illustrated.  New  York,  etc.,  1850.  8®.  pp. 

375- 

Same.  New  York,  1851.  8®.  pp. 

375- 

Dietz, . Versuch,  den  Begriff  des  Differen- 

zials  zu  entwickeln.  Schleusingen,  [1832].  4®. 

pp.  iv.,  26. 

Diihring,  E.  K.  De  tempore,  spatio,  causalitate 
atque  de  analysis  infinitesimalis  logica. — Diss.  inaug. 
Berqlini,  [1861].  8®.  ff.  (2),  pp.  130-f-. 

Duhamel,  J.  M.  C.  Des  methodes  dans  les 
sciences  de  raisonnement.  Paris,  1868-78.  5 v. 

in  3.  8®. 

le,  26  pt.  are  “a®  ed.” 

Eichhorn,  C.  F.  Dissertatio  inauguralis  de 
semiologistica  ex  principiis  arithmographicis  repe- 
tita.  Gottingae,  1826.  8®.  pp.  36. 

Enschede,  W.  A.  De  disciplinarum  mathe- 
maticarum  et  physicarum  auxiliis.  Groningae, 
1836.  4®.  pp.  23. 

Ermerins,  J.  W.  De  matheseos  vi  ad  acuen- 
dum  veri  sensum.  Groningae,  1835.  4®.  pp.  21. 

De  studio  matheseos  ad  plurimorum  homi- 

num  ingenia  accommodato.  Franequerae,  1825. 
4®.  pp.  16. 

Ewyck,  D.  J.  van.  Dissertatio  inauguralis  de 
comparata  cognitionis  in  mathesi  et  in  philosophia 
indole.  Trajecti  ad  Rhenum,  [1830].  8®.  pp.  viii., 
142. 

Gies,  W.  Ueber  Methode  und  methodische 
Behandlung  des  Rechenunterrichts.  Fulda,  1867. 
8®.  f.  (i),  pp.  98. 

Gloesener,  M.  De  vera  scientias  physicas  ex- 
colendi  methoclo  et  vero  illarum  studii  fine.  n.  p., 
[1826].  4®.  f.  (i),  pp.  364-. 

Harprecht,  A.  Der  Rechenunterricht  in  der 
Realschule.  Berlin,  1866.  4®.  pp.  38. 

Hoene  de  Wronski,  J.  Introduction  b.  la 
philosophie  des  math^matiques  et  technie  de  I’algo- 
rithmie.  Paris,  1811.  4®.  ff.  (4),  pp.  vi.,  269-j-. 

Jacquier,  E.  De  I’esprit  des  math^maliques 
sup6rieures : premiers  principes  de  la  geometrie 
analytique,  du  calcul  diff^rentiel  et  du  calcul  integral 
appliques  aux  lois  de  la  pesanteur  et  de  I’attraction 
universelle.  Paris,  1873.  (i)>  PP-  152- 

Kastner,  A.  G.,  und  G.  S.  Kliigel.  Philoso- 
phisch-mathematische  Abhandlungen  aus  dem  Philo- 
sophischen  Magazin  besonders  abgedruckt.  Halle, 
1807.  16®.  pp.  1 71-}-. 

Contents  : — Eastner,  A.  G.  Was  heisst  in  Euklids  Geo- 
metrie nioKlich?— -Ueber  den  matheniatischcn  Begriff  des 
Raums.  — Ueber  die  geometrischen  Axiome.  — Ueber  Kunst- 
worter,  besonders  in  der  Mathematik.  — Kliigel,  G.  S. 
Grundsatze  der  reinen  Mechanik. 


CORNELL  UNI  VERS/  T Y. 


23 


Kelland,  P.  Lectures  on  the  principles  of  de- 
monstrative mathematics.  Edinburgh,  etc.,  1843. 
8'*.  pp.  viii.,  147. 

Koppe,  C.  Der  mathematische  Lehrplan  fiir 
das  Gymnasium.  Soest,  1866.  40.  pp.  24. 

Lacroix,  S.  F.  Essais  sur  I’enseignement  en 
general  et  sur  celui  des  mathematiques  en  particu- 
lier.  Paris,  1805.  sm.  80.  pp.  vii.,  390. 

Mathematics.'  London,  1835-36.  2 v.  8®. 

(See.  for  the  diffusion  of  useful  knowledge. 
Library  of  useful  knowledge. ) 

Contents:  — i.  De  Morgan,  A.  Study  and  difficulties  of 
mathematics. — Parker,  A.  M.  Arithmetic  and  algebra. — 
De  Morgan,  A.  Examples  of  the  processes  of  arithmetic  and 
algebiu.  1836. — il.  Morton,  P.  Geometry,  plane,  solid,  and 
spherical.  — Hopkins,  W.  Elements  of  trigonometry.  — 
De  Morgan,  A.  Elements  of  spherical  trigonometry.  — 
Wand,  S.  W.  Algebraical  geometry.  1835. 

Parke,  U.  Lectures  on  the  philosophy  of  arith- 
metic. 4th  ed.  Philadelphia,  1850.  120.  pp.  395. 

Raphson,  J.  De  spatio  reali,  seu  ente  infinito 
conamen  mathematico  - metaphysicum.  Londini, 
1702.  40.  if.  (4),  pp.  95. 

Bd.  with  his  Analysis  sequationum  universalis. 

Robins,  B.  A discourse  concerning  the  nature 
and  certainty  of  Sir  Isaac  Newton’s  methods  of  flux- 
ions, and  of  prime  and  ultimate  ratios.  London, 
1735.  80.  ff.  (2),  pp.  78. 

Rottenbach,  H.  Ueber  den  Unterricht  in  der 
Elementargeometrie.  Saalfeld,  1869.  40.  pp.  16. 

Schmeisser,  (J.  C.)  F.  De  disciplinis  mathe- 
maticis  a P.  Melanchthone  ad  veram  philosophiam 
restituendam  in  scholas  revocatis  commentatio. 
Francofurti,  1817.  i6«.  pp.  34. 

Kritische  Betrachtung  einiger  Lehren  der 

reinen  Analysis.  2^  Abth.  Frankfurt  a.  d.  O., 
[1846].  40.  f.  (i),  pp.  26. 

Schwarz,  H.  Versuch  einer  Philosophic  der 
Mathematik.  Halle,  1853.  8®.  pp.  vi.,  f.  (i), 

pp.  193. 

Sebas,  or  Sebass,  C.  L.  De  dvplici  mathemati- 
carvm  qvantitatvm  relatione.  Lipsiae,  [1797].  4®. 

pp.  32. 

Steen,  A.  De  vi  et  natura  infmiti  mathematici. 
Ilauniae,  [1845].  40.  pp.  32. 

[Strong,  M.]  An  essay  on  the  usefulness  of 
mathematical  learning,  in  a letter  from  a gentleman 
in  the  city  to  his  friend  in  Oxford.  2d  ed.  Oxford, 
1721.  i6‘*.  f.  (i),  pp.  37. 

Thiele,  (J.  C.)  G.  Wie  sind  die  svnthetischen 
Urtheile  der  Mathematik  a priori  mbgfich  ? — Inau- 
guralschrift.  Halle,  1869.  8".  f.  (i),  pp.  44-}-. 

Tillich, . Ueber  Grundlagen  und  Ausbau 

unserer  Algebra  als  Unterrichts-Gegenstand.  Ber- 
lin, 1869.  4«.  pp.  43. 

Walker,  J.  'Phe  philosophy  of  arithmetic  (con- 
sidereil  as  a branch  of  mathematical  science)  and 
the  elements  of  algebra.  Dublin,  1812.  8®.  pp.  x.-|-, 
203. 

Whewell,  W.  Remarks  on  mathematical  reas- 
oning, Ac.  : a supplement  to  the  fourth  edition  of 
Dr.  Whewell’s  Mechanical  Euclid,  containing  the 
omitted  j)ortions  of  the  third  edition.  [Cambridge, 
1845.]  12".  pp.  64. 

lid.  wilh  his  Mechanical  Euclid. 

Wilde,  E.  Ueber  mathematische  Uebungsauf- 
gaben  auf  Gymnasien.  Stargard,  1828.  4". 

Wilson,  W.  D.  The  nature  and  method  of 
teaching  mathematics.  (From  the  proceedings  of 
the  university  convocation,  held  at  Albany,  Aug. 
6th,  7th  and  8th,  1867.)  [Albany,  1867.]  8". 

pp.  89-104. 


Woodhouse,  R.  The  principles  of  analytical 
calculation.  Cambridge^  1803.  4".  f.  (i),  pp. 

xxxiv.,  219.  (2  copies.) 

Young,  J.  R.  An  introductory  lecture  deliv- 
ered at  the  opening  of  the  mathematical  classes  in 
Belfast  college,  Nov.  12,  1833.  London,  1833.  8". 

pp.  32. 

a.  Uses  of  Astronomy. 

Everett,  E.  The  uses  of  astronomy : a discourse 
delivered  at  Albany,  Aug.  28,  1856,  on  occasion  of 
the  inauguration  of  the  Dudley  observatory.  Bos- 
ton, 1856.  8".  pp.  50. 

b.  Philosophy  of  Calculus. 

Wilde,  A.  Ueber  die  Principien  der  hohern 
Analysis.  Stargard,  1836.  4".  f.  (1),  pp.  24. 

c.  Methods  m Geometry. 

Delboeuf,  J.  Prolegomenes  philosophiques  de 
la  geometrie  et  solution  des  postulats ; suivis  de  la 
traduction  d’une  dissertation  sur  les  principes  de  la 
geometrie  par  F.  Ueberweg.  Liege,  ^ A.,  i860.  8". 

pp.  xxi.,  308. 

Drobisch,  M.  W'.  Theoriae  analyseos  geome- 
tricae  prolusio.  Lipsiae,  [1824].  8".  pp.  viii.,  64. 

Jones,  J.  On  the  unsuitableness  of  Euclid  as  a 
text-book  of  geometry.  London,  ete.,  1870.  8". 

pp.  46. 

Extracted  from  the  Transactions  of  the  Liverpool  literary 
and  philosophical  society. 

Kribben,  J.  J.  Die  Beziehungen  der  verschie- 
denen  Auflosungsweisen  geometrischer  Aufgaben 
zueinander  und  die  Behandlung  geometrischer  Auf- 
gaben durch  Rechnung  und 'rrig<.)nometrie  von  einer 
eigenthumlichen  bis  dahin  nicht  genug  beachteten 
Seite.  Aachen,  [1853].  4".  f.  (i),  pp.  xxvi. 

Mattlies,  C.  J.  Commentatio  ad  ciuaestionem  : 
“ Fiat  comparatio  inter  methodum  analyticam  vete- 
rum  geometrarum  apud  Graecos  et  inter  analysin 
recentiorem,  qua  hodie([ue  utuntur ; turn  etiam 
utriusque  methodi  commoda  exquisitioribus  tjuibus- 
dam  exemplis  illustrentur.”  [ Lugduni  Batavoruiu], 
1^33-  4*"-  PP-  3^- 

Reynolds,  E.  M.  Modern  methods  in  elemen- 
tary geometry.  London,  etc.,  1868.  8".  pp.  vii., 

112. 

Serret,  P.  Des  mdthodes  en  geometrie.  Paris, 
1855.  8".  pp.  XV.,  144. 

Wedgwood,  H.  'I’he  geometry  of  the  three 
first  books  of  Euclid,  by  direct  proof  from  defini- 
tions alone,  with  an  introduction  on  the  j)rinciples 
of  the  science.  London,  1856.  12".  p[).  viii.,  104. 

The  princij)les  of  geometrical  dcmonsl ra- 
tion deduced  from  the  original  conception  of  space 
and  form.  London,  1844.  12".  f.  (i),  pp.  48. 

Algebra. 

{See  ako  Imaginaries,  Logarithms,  Maxima 
and  Minima,  Permutations  and  Combina- 
tions, Series,  Functions,  a.  Symmetric  Eunc- 

tions.  Theory  of  Numbers.) 

Adh6mar,  J.  Traites  d’arithmdtique  et  d’al- 
g^bre ; 3"  ed.  Paris,  1880.  8".  p[).  xvi.,  496. 

[Bahrdt,  . ] Abhandlung  iiber  die  Zerle- 

gung  der  Producte,  besonders  der  polynomischen  in 
ihre  Factoren.  Diisseldorf,  1830.  4".  f.  (i), 

1 pp.  20. 


24 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


Bell,  A.  The  elements  of  algebra ; with  an  ap- 
pendix on  the  solution  of  numerical  equations.  Pt. 
ii,  EcMnburgh,  etc.,  1840.  ib®.  (Chambers’s  ed- 
ucational course.) 

Bertrand,  J.  (L.  F.).  Traite  d’algebre:  i®  pt. 
a I’usage  des  classes  de  mathematiques  ^lementaires ; 
lie  ed.,  revue  par  J.  Bertrand  et  H.  Garcet.  Paris, 
1879.  80.  ff.  (2),  pp.  iv.,  326. 

Sa77ie.  2®  pt.  ^ I’usage  des  classes  de  ma- 

th^matiques  speciales ; nouvelle  ^d.  par  J.  Ber- 
trand et  H.  Garcet.  Paris,  1878.  8®.  ff.  (2),  pp. 

388. 

Beyer,  . Mathematische  Abhandlung. 

Neustettin,  1863.  4®.  pp.  31. 

Bissell,  J.  N.  Algebra.  Cambridge,  etc.,  1867. 
120.  ff.  (4),  pp.  60. 

Bonnycastle,  J.  A treatise  on  algebra,  in 
practice  and  theory,  with  notes  and  illustrations, 
containing  a variety  of  particulars  relating  to  the 
discoveries  and  improvements  that  have  been  made 
in  this  branch  of  analysis  ; 2d  ed.,  revised  and  im- 
proved. London,  1820.  2 v.  8®. 

A key  to  Bonnycastle’s  Algebra,  contain- 
ing the  solutions  of  the  questions  with  the  refer- 
ences as  they  stand  in  the  last  edition  of  that  work, 
by  W.  Davis;  2ded.  London,  1810.  12®.  pp.  iv., 

183. 

Bourdon,  P.  L.  M.  Elements  d’algbbre  ; 13© 
^d.  Paris,  1868.  8®.  pp.  xiv.,  f.  (i),  pp.  572. 

Elements  of  algebra,  translated  from  the 

French  by  E.  C.  Ross.  New  York,  1831.  8®. 

pp.  vii.,  389+. 

Sa77ie.  Including  Sturm’s  theorem,  trans- 
lated from  the  French  by  C.  Davies.  New  York, 
etc.,  1853.  8®.  pp.  368. 

Bridge,  B.  A treatise  on  the  elements  of  alge- 
bra; nth  ed.  London,  etc.,  1842.  8®.  ff.  (3), 

pp.  224. 

SaTTie.  1 2th  ed.  London,  1847.  8®.  ff. 

(3),  pp.  224. 

Briot,  C.  (A.  A.).  Le9ons  d’alg^bre.  Paris, 
1868.  2 V.  8®. 

Contents:  — i.  Introduction,  calcul  algebrique,  Equations, 
progressions  et  logarithmes.  76  6d. — ii.  Complement  de  cal- 
cul algebrique,  binome,  series,  des  logarithmes,  derivees,  theo- 
rie  des  equations,  appendice.  6®  ^d. 

Brooks,  E.  The  normal  elementary  algebra, 
containing  the  first  principles  of  the  science.  Phil- 
adelphia, [cop.  1871].  12®.  pp.  287. 

Buch,  J.  P.  Om  modsatte  Storrelser.  Kjoben- 
havn,  1855.  16®.  pp.  35. 

Cauchy,  A.  L.,  Baro7i.  Rbsumbs  analytiques. 
Turin,  1833.  4®.  pp.  1 66. 

Choquet,  C.,  et  M.  Mayer -D’Almbert. 
Traits  dl^mentaire  d’alg^bre ; 50  6d.,  revue,  cor- 
rigbc  et  augmentde.  Paris,  1849.  8®.  pp.  xv., 

638. 

Choquet,  C.  Compldment  d’algdbre,  nontenant 
les  matieres  qui  ne  se  trouvent  pas  dans  la  5®  ed.  du 
Traite  e'le'77ie/7taire  d'algebre.  Paris,  1851.  8®. 

ff.  (2),  pp.  50-f. 

Colenso,  J.  W.,  bp.  of  Natal.  The  elements 
of  algebra.  Pt.  i.  14th  ed.  London,  1859.  12®. 

pp.  vi.,  156,  xxiv.,  24. 

Key.  New  ed.  London,  1859.  12®. 

f.  (I),  pp.  68. 

Davies,  C.  New  elementary  algebra,  embrac- 
ing the  first  principles  of  the  science.  New  York, 
1868.  12®.  pp.  299. 

Day,  J.  An  introduction  to  algebra;  being  the 
first  part  of  a course  of  mathematics,  adapted  to  the 


method  of  instruction  in  the  American  colleges. 
New  ed. — 23d  thousand;  with  additions  and  altera- 
tions by  the  author  and  Prof.  Stanley  of  Yale  col- 
lege. New  Haven,  etc.,  1869.  12®.  pp.  xii.,  404. 

Elliot,  J.  Advanced  algebra.  London,  etc., 
[1880].  8®.  pp.  vi.,  249.  (Stewart’s  mathemat- 

ical series.) 

Emerson,  W.  A treatise  of  algebra,  contain- 
.ing  the  fundamental  principles  of  this  art,  [and] 
problems  in  the  most  important  branches  of  the 
mathematics.  London,  1764.  8®.  pp.  viii.,  527. 

Euler,  L.  Elements  of  algebra,  translated  from 
the  French,  with  the  additions  of  La  Grange  and 
the  notes  of  the  French  translator,  to  which  is  add- 
ed an  appendix,  containing  the  demonstration  of 
several  numerical  propositions ; 2d  ed.  London, 
1810.  2 v.  8®. 

Contents:  — i.  Determinate  quantities. — ii.  Indeterminate 
quantities.  — Additions  by  La  Grange. 

Sa77ie.  With  the  notes  of  M.  Bernoulli 

&c.  and  the  additions  of  M.  de  La  Grange;  5th 
ed.,  revised  and  corrected ; by  J.  Hewlett;  to  which 
is  prefixed  a memoir  of  the  life  of  Euler  by  F. 
Horner.  London,  1840.  8®.  pp.  xxx.,  593. 

Gamier,  J.  G.  Elemens  d’algebre.  i®  section ; 
3®  ed.  Paris,  1811.  8®.  f.  (i),  pp.  xxvi.,  f.  (i), 

pp.  511+. 

Analyse  algebrique,  faisant  suite  a la  pre- 
miere section  de  I’Algebre;  2®  ed.,  revue  et  aug- 
ment6e.  Paris,  1814.  8®.  pp.  xvi.,  668. 

Greenleaf,  B.  New  elementary  algebra,  in 
which  the  first  principles  of  analysis  are  progress- 
ively developed  and  simplified.  Boston,  etc.,  1868. 
12®.  pp.  324. 

New  higher  algebra;  an  analytical  course 

designed  for  high  schools,  academies  and  colleges. 
Boston,  etc.,  1868.  12®.  pp.  394. 

Hackley,  C.  W.  A treatise  on  algebra,  con- 
taining the  latest  improvements.  New  York,  1846. 
1.  8®.  pp.  XV.,  503-1-. 

Hincke,  J.  Arithmetische  Formenlehre.  Hal- 
berstadt,  [1859].  4®.  f.  (i),  pp.  18. 

Hind,  J.  The  elements  of  algebra  ; 4th  ed. 
Cambridge,  1839.  8®.  pp.  viii.,  540. 

Hirsch,  M.  A collection  of  arithmetical  and  al- 
gebraic problems  and  formulae ; translated  from  the 
original  German  by  F.  J.  Grund.  Boston,  1831. 
12®.  pp.  xii.,  340,  2. 

Kelland,  P.  Algebra;  being  a complete  and 
easy  introduction  to  analytical  science.  Edinburgh, 
1876.  16®.  pp.  V.,  454,  xxiii. 

K6nit2;er,  J.  S.  Die  Ableitung  der  Gleichung- 
en  aus  den  Aufgaben.  Neu-Ruppin,  1862.  4®. 

pp.  36. 

Lacroix,  S.  P.  de.  Elements  d’algebre ; 22® 
6d.,  revue,  corrigee  et  annotee  par  M.  Prouhet. 
Paris,  1868.  8®.  pp.  xvi.,  469. 

Complement  des  Siemens  d’algebre;  4® 

6d.  Paris,  1817.  8®.  pp.  viii.,  328. 

Sa77ie.  7®6d.  Paris,  1863.  8®.  pp.  viii., 

342. 

Lawrence,  C.  D.  Elements  of  algebra.  Au- 
burn, [N.  Y.],  etc.,  1853.  12®.  pp.  314. 

Lefebure  de  Fourcy,  L.  E.  Le9ons  d’algebre; 
50  ed.  Paris,  1845.  8®.  pp.  ix.-f-,  548. 

Loomis,  E.  A treatise  on  algebra;  revised  ed. 
New  York,  1870.  12®.  pp.  384. 

Maclaurin,  C.  A treatise  of  algebra;  to  which 
is  added  an  appendix  concerning  the  general  prop- 
erties of  geometrical  lines.  London,  1748.  3 pt.  in 

I V.  8®.  pp.  xiv.,  366,  f.  (i),  pp.  65. 


CORNELL  UNIVERSITY. 


25 


The  appendix  is  in  Latin,  is  paged  separately,  and  has 
this  title  : — “ Appendix  : de  lincarum  geometricarum  proprie- 
tatibus  generalibus  tractatus.  Londini,  1748.’! 

Maclaiirin,  C.  A treatise  of  algebra.  5th  ed. 
London,  1788.  80.  ff.  (7),  pp.  504. 

Newton,  Sirl..  Universal  arithmetick : or,  A 
treatise  of  arithmetical  composition  and  resolution  ; 
to  which  is  added  Dr.  Halley’s  method  of  finding 
the  roots  of  equations  arithmetically.  Written  in 
Latin  and  translated  by  Mr.  Ralphson  and  revised 
and  corrected  by  Mr.  Cunn;  2d  ed.,  corrected. 
London,  1728.  8®.  ff.  (2),  pp.  iii.+,  271. 

Olney,  E.  The  complete  school  algebra;  em- 
bracing simple  and  quadratic  equations,  proportion 
and  the  progressions,  with  an  elementary  and  prac- 
tical view  of  logarithms,  and  a chapter  on  the  busi- 
ness rules  of  arithmetic  treated  algebraically.  New 
York,  [cop.  1870].  120.  (Olney’s  mathematical 

series.) 

A university  algebra : comprising  i.  a com- 
pendious course  in  elementary  algebra,  and  ii.  an 
advanced  course  in  algebra.  New  York,  1875.  8®. 

pp.  xxii.,  323. 

Paoli,  P.  Element!  d’algebra.  Pisa,  1794. 
2 V.  40. 

Contents:  — i.  Algebra  delle  quantita  finite,  introduzione 
air  analisi  infinitesimale.  — iL  Analisi  infinitesim^e. 

Supplement.  Inedito.  Pisa,  1804.  40. 

ff.  (2),  pp.  286+. 

Peacock,  G.  A treatise  on  algebra.  Cam- 
bridge, etc.,  1842-45.  2 V.  8°. 

Contents:  — i.  Arithmetical  algebra.  1842. — ii.  On  sym- 
bolical algebra,  and  its  applications  to  the  geometry  of  position. 
1845. 

Peirce,  B.  An  elementary  treatise  on  algebra, 
to  which  are  added  exponential  equations  and  loga- 
rithms; new  ed.  Boston,  1870.  120.  pp.  iv., 

284. 

Perkins,  G.  R.  The  elements  of  algebra;  serv- 
ing as  an  irttroduction  to  the  “ Treatise  on  algebra;  ” 
revised  ed.  New  York,  1863.  12°.  pp.  244. 

A treatise  on  algebra,  containing  the  new 

method  of  cubic  and  higher  equations  as  well  as  the 
development  and  application  of  the  more  recently 
discovered  theorem  of  Sturm  ; 4th  ed.,  revised,  en- 
larged and  improved.  New  York,  1869.  8°.  pp. 

420. 

Petr,  T.  Neue  Potenziallehre,  sammt  dem  Be- 
weise  der  Unrichtigkeit  der  von  den  Mathematikern 
bis  jetzt  angenommenen  Deffinition  vom  Potenziren. 
Oedenburg,  1844.  8®.  pp.  40. 

Ray,  J.  Algebra.  Cincinnati,  etc.,  n.d.  2 pt. 
120.  (Eclectic  educational  series.) 

Contents  : — i.  On  the  analytic  and  inductive  methods  of  in- 
struction : with  exercises.  Revised  ed.  — ii.  An  analytical 
treatise  for  high  schools  and  colleges. 

Same.  Second  book. — Elements  of  alge- 
bra. Revised  ed.  Cincinnati,  etc.,  [cop.  18C6]. 
12®.  pp.  406.  (Eclectic  educational  series.) 

Riccati,  V.,  e G.  Saladini.  Institutiones 
analytics.  Bononise,  1765-67.  2 v.  in  3.  (ii.  and 

iii.  ])aged  continuously.)  40. 

Contents  : — i.  De  algoriinmo,  de  aequationibus,  de  lineis  seu 
locis  secundi,  tertii  & superiorum  graduum.  1765. — ii.  i.  De 
quantitatibus  infinitesimis,  de  curvarum  quadraturis&  rectifica- 
tionibus,  & de  integratione  formularum,  quae  unam  tantum 
variabileni  continent. — 2,  3.  De  methodo  tangenlium,  de  sepa- 
ratione  indeterminatarum  de  constructione  earum  aequationum, 
in  (luibus  indeterminatae  separari  non  possunt,  de  calculo,  & 
usu  quantitatum  differentialium  altiorum  graduum.  1767. 

Ryan,  J.  An  elementary  treatise  on  algebra, 
theoretical  and  practical ; to  which  is  added  an  ap- 
pendix containing  an  algebraic  method  of  demon- 
strating the  propositions  in  the  fifth  book  of  Euclid’s 


Elements,  by  R.  Adrain ; 6th  ed.  New  York, 
1845.  120.  pp.  viii.,  391. 

Satne.  6th  ed.  New  York,  1851.  12°. 

pp.  viii.,  391. 

Sandeman,  A.  Pelicotetics,  or  The  science  of 
quantity  ; an  elementary  treatise  on  algebra  and  its 
groundwork,  arithmetic.  Cambridge,  etc.,  1868. 
80.  pp.  xxi.,  443. 

Sanford,  S.  P.  New  elementary  algebra. 
Philadelphia,  [cop.  1879].  120  or  160.  pp.  332. 

Saunderson,  N.  The  elements  of  algebra  in 
ten  books ; to  which  are  prefixed  i.  The  life  and 
character  of  the  author ; ii.  His  palpable  arithmetic 
decypher  ed.  Cambridge,  1740-41.  2 v.  40. 

Contents:  — i.  Life,  algebra,  and  algebraic  quantities,  sim- 
ple equations,  quadratic  equations,  pure  algebra,  problems  ad- 
mitting of  many  answers,  curious  properties  of  whole  numbers, 
incommensurables.  1741. — ii.  Diophantine  questions,  doc- 
trine of  proportion,  composition  and  resolution  of  ratios,  appli- 
cation of  algebra  to  geometry,  doctrine  of  solids,  powers  and 
their  indexes,  the  binomial  theorem,  logarithms,  logarithmotech- 
ny,  division,  arithmetic  of  surd  quantities,  cubic  and  biquad- 
ratic equations.  1740. 

Schlomilch,  O.  Handbuch  der  algebraischen 
Analysis ; 3®  verbesserte  und  durch  einen  Anhang 
vermehrte  Aufl.  Jena,  1862.  80.  pp.  vii.-f,  414. 

[Schnabel,  C.]  Die  4 Species  der  Buchsta- 
benrechnung  und  die  algebraischen  Gleichungen  des 
I.  Grades.  Siegen,  1866.  8®.  pp.  39. 

Schuyler,  A.  A complete  algebra  for  schools 
and  colleges.  Cincinnati,  etc.,  [cop.  1870].  160. 

pp.  368. 

Serret,  J.  A.  Cours  d’alg^bre  sup^rieure.  3® 
6d.  Paris,  1866.  2 v.  8®. 

Contents:  — i.  Propri6t6s  g6n^rales,  resolution  numeriquc 
des  equations,  functions  symmetriques. — ii.  Proprietes  des 
nombres  entiers,  substitutions,  resolution  algebrique  des  equa- 
tions. 

Sestini,  B.  A treatise  on  algebra.  Baltimore, 
etc.,  1855.  I2«.  pp.  216. 

Sherwin,  T.  The  common  - school  algebra. 
Boston,  1846.  160.  pp.  viii.,  238. 

Same.  Boston,  1847.  16®.  pp.  viii., 

238. 

An  elementary  treatise  on  algebra.  7th 

ed.  Boston,  [cop.  1841].  12®.  pp.  vii.,  300. 

Simpson,  T.  A treatise  of  algebra;  wherein 
the  fundamental  principles  are  fully  and  clearly 
demonstrated,  and  applied  to  the  solution  of  a great 
variety  of  problems  ; to  which  is  added  the  construc- 
tion of  a number  of  geometrical  problems.  Lon- 
don, 1745.  8®.  pp.  viii.,  ff.  (2),  pp.  402. 

Same.  8lh  ed.  London,  1804.  8®.  ff.  (4), 

pp.  400. 

Smith,  J.  H.  Elementary  algebra;  new  ed., 
revised  and  corrected.  London,  1870.  sm.  8®. 
pp.  viii.,  398. 

Spiller,  W.  H.  Key  to  Prof.  Young’s  Alge- 
bra; new  ed.  l.ondon,  1840.  12®.  f.  (i),  pp.  vi., 

218. 

Stoddard,  J.  F.,  and  W.  D.  Henkle.  An 

elementary  algebra.  New  York,  1865.  120.  pp. 

240. 

Same.  New  York,  1867.  12®.  pp.  240. 

Strong,  T.  A treatise  on  elementary  and  higher 
algebra.  New  York,  1859.  8®.  pp.  ix.,  551. 

Todhunter,  I.  Algebra  for  beginners,  with  nu- 
merous examples.  New  ed.  London,  etc.,  1867. 
160.  pp.  viii.,  328. 

Algebra;  with  numerous  examples.  4th 

ed.  London,  etc.,  1866.  sm.  8®.  pp.  x.,  553. 


26 


WORKS  RE  LA  TING  TO  MA  THEMA  TICS. 


Tower,  D.  B.  Intellectual  algebra;  or,  Oral 
exercises  in  algebra.  New  York,  etc.,  [cop.  1845]. 
160.  pp.  208. 

Same.  I4tli  ed.  Boston,  1865.  160. 

pp.  208. 

Twilt,  A.  Toet-steen  van  d’algebra  spetiosa, 
by  na  op  een  oneyndelijke  manier  proef-vast  getoetst 
wordt  de  57®  quaestie  van  L.  van  Keulen,  in  sijn 
Boeck  des  cirkels,  ofte  de  19®  quaestie,  uyt ’t  vijfde 
Boeck  van  den  wijtvermaerden  Griek  Diophante  van 
Alexandrie.  Alles  gestelt  en  gecorrigeert  door 
Dirck  d’Hollander.  Amsterdam,  1669.  4®.  pp. 

52- 

Vose,  G.  L.  A graphic  method  for  solving  cer- 
tain algebraic  problems.  New  York,  1875.  24®. 

pp.  62.  (Van  Nostrand’s  science  series,  16.) 

Wallis,  J.  A treatise  of  algebra,  both  histor- 
ical and  practical,  shewing  the  original,  progress 
and  advancement  thereof,  from  time  to  time,  with 
some  additional  treatises.  London,  1685.  f®. 

ff.  (8),  pp.  374,  ff.  (2),  pp.  17,  f.  (i),pp.  176,  f.  (I), 
pp.  17. 

The  “ Additional  treatises  ” with  separate  titles  and  some- 
times separate  paging  are  as  follows:  — i.  Cono-cuneus,  or 
The  shipwright’s  circular  wedge;  that  is,  a body  resembling  in 
part  a conus,  in  part  a cuneus,  geometrically  considered.  Lon- 
don, 1684.  — 2.  A treatise  of  angular  sections.  London,  1684. 
— 3.  A defense  of  the  treatise  of  the  angle  of  contact.  Lon- 
don, 1684. — 4.  A discourse  of  combinations,  alternations,  and 
aliquot  parts.  London,  1685. 

Waring,  E.  Meditationes  algebraicae;  ed.  3®' 
recensita  et  aucta.  Cantabrigise,  1782.  4®.  f- (i)> 

pp.  xliv.,  389-f,  ff.  (13). 

Welcker,  W.  T.  Advanced  algebra.  San 
Francisco,  [cop.  1880].  8®.  pp.  vi.,  104. 

Wiegand,  A.  Algebraische  Analysis  und  An- 
fangsgriinde  der  Differential-Rechnung;  4®  Aufl. 
Halle,  1872.  8®.  pp.  x.,  170. 

Young,  J.  R.  An  elementary  treatise  on  alge- 
bra, theoretical  and  practical,  with  attempts  to  sim- 
plify some  of  the  more  difficult  parts  of  the  science, 
particularly  the  demonstration  of  the  binomial  theo- 
rem, the  summation  of  infinite  series,  the  solution 
of  equations  of  the  higher  order,  &c.  ; new  Ameri- 
can ed.,  revised  and  corrected.  Philadelphia,  1848. 
8®.  pp.  324. 

An  introduction  to  algebra,  and  to  the  so- 
lution of  numerical  equations ; 2d  ed.  London, 
ete.y  1855.  12®.  pp.  248,  24. 

See  Spiller,  W.  H.  Key  to  Prof.  Young’s  Algebra. 

a.  A pp7'oxiniations. 

Laplace,  P.  S.,  marqtds  de.  M^moire  sur  les 
approximations  des  formules  qui  sont  fonctions  de 
tr^s-grands  nombres,  et  sur  leur  application  aux 
prol)abilites.  [I’aris?  1810?]  4®.  pp.  353-415. 

From  the  “M6moircsde  I’acad.  des  sciences.” 

Liounet,  E.  Des  approximations  num^riques  ; 
2®  ^cl.  Pans,  1857.  8®.  pp.  40. 

Vieille,  J.  (M.  L.).  Thdorie  g^n^rale  des  ap- 

Eroximations  num^riques,  suivie  d’une  application  k 
i resolution  des  Equations  numeriques;  2®  ed.,  re- 
vue, corrigee  et  augmentee.  Paris,  1854.  8®. 

pp.  xii.,  200. 

b.  Equations. 

Beaune,  F.  de.  De  aeqvationvm  natura,  con- 
stitutione  & limitibus  opuscula  duo,  incepla  k F.  de 
Ifeavne,  absoluta  verb,  & post  mortem  ejus  edita  ab 
K.  Bartholino.  Amstelodami,  1683.  4®.  pp.  49- 

152. 

Bridge,  B.  On  the  theory  and  solution  of  cubic 


and  biquadratic  equations,  and  of  equations  of  the 
higher  orders;  2d  ed.,  revised.  London,  18^-?. 
ff-  (3).  PP-.  145- 

Supplement  to  his  “ Treatise  on  the  elements  of  algebra.” 

Ehrlenholtz,  A.  Ueber  die  Losung  der  bino- 
mischen  Gleichung.  Celle,  1869.  4®.  pp.  16. 

Hymers,  J.  A treatise  on  the  theory  of  alge- 
braical equations.  Cambridge,  etc.,  1837.  8®.  pp. 

xi.,  196. 

Same.  3d  ed. , enlarged.  Cambridge, 

1858.  8®.  pp.  vii.,  284. 

Jordan,  C.  Traite  des  substitutions  et  des 
equations  algebriques.  Paris,  1870.  4®.  pp.  xvi., 

f (I),  pp.  667. 

Murphy,  R.  A treatise  on  the  theory  of  alge- 
braical equations.  London,  1839.  8®.  pp.  iv., 

1 71.  (Society  for  the  diffusion  of  useful 
knowledge.  Library  of  useful  knowledge. ) 

Raphson,  J.  Analysis  sequationum  universalis, 
seu  ad  aequationes  algebraicas  resolvendas  inethodus 
generalis ; ed.  2^  cui  accessit  appendix  de  infinito 
infinitarum  serierum  progressu  ad  equationum  alge- 
braicarum  radices  eliciendas.  Londini,  1702.  4®. 

ft.  (2),  pp.  55. 

Todhunter,  I.  An  elementary  treatise  on  the 
theory  of  equations,  with  a collection  of  examples ; 
2d  ed.,  revised.  London,  etc.,  1867.  sm.  8®.  pp. 
vi.,  f.  (i),  pp.  318. 

Young,  J.  R.  Theory  and  solution  of  algebra- 
ical equations  of  the  higher  orders;  2d  ed.,  en- 
larged. London,  1843.  8®.  pp.  xxiii.,  476. 

I.  Quadratics,  Cubics  and  Biquadratics. 

Brosius,  F.  X.  Abhandlung  von  den  cubischen 
Gleichungen.  Diiren,  1832.  4®.  f.  (i),  pp.  16. 

Buchner,  E.  Cardanus  Formel,  deren  Ver- 
wandlung  zur  Berechnung  der  Wurzeln  von  Zahlen- 
gleichungen  von  der  Gestalt : x'^  — Px  — ^ = o. 
Hildburghausen,  1857.  8®.  pp.  vi.,  26. 

Grebe,  E.  W.  Ueber  die  Verwandlung  der 
Wurzeln  quadratischer  Gleichungen  in  Ketten- 
briiche.  Cassel,  1847.  4®.  f.  (i),  pp.  32. 

Maseres,  or  Mazbres,  F.  Tracts  on  the  reso- 
lution of  cubick  & biquadratick  equations.  Lon- 
don, [1803].  8®.  pp.  Ixi.,  599. 

Schimmel,  G.  L.  Ueber  die  Auflosung  der 
kubischen  Gleichungen  mittelst  der  Cardanischen 
Regel.  [Glatz],  1829.  4®.  pp.  12. 

Schon,  J.  J.  Theorie  der  Gleichungen  vom 
zweiten  und  dritten  Grade.  Aachen,  [1863!.  4®. 

ff.  (2),  pp.  38. 

Young,  J.  R.  The  analysis  and  solution  of 
cubic  and  biquadratic  equations  ; forming  a sequel 
to  the  elements  of  algebra,  and  an  introduction  to 
the  theory  and  solution  of  equations  of  the  higher 
orders.  London,  1842.  12®.  pp.  xx.,  247. 

2.  Equations  of  nth  Degree. 

Jerrard,  G.  B.  Mathematical  researches.  Pt.  i. 
Bristol,  etc.,  1832.  8®.  f.  (i),  pp.  v.,  33. 

Lettered  “ Mathematical  pamphlets.” 

Ley,  F.  Ueber  die  Auflosung  der  hoheren 
Gleichungen  durch  Reihen.  Koln  am  Rhein, 
[1831].  4®.  f.  (I),  pp.  30. 

Muller,  A.  Die  algebraische  Auflbsung  der 
Gleichungen  des  ftinften  und  des  sechsten  Grades. 
.Stuttgart,  1848.  4®.  pp.  xii.,  82. 

Schreiber, . Ueber  die  Unmoglichkeit 

einer  allgemeinen  Methode  der  algebraischen  Lo- 


CORNELL  UN/ VERS/ TV. 


27 


sung  algebraischer  Gleichungen.  Blankenburg, 
[1863].  40.  f.  (I),  pp.  20. 

2'.  Literal  Equations. 

Job, . Beitrag  zur  Auflosung  der  Gleich- 
ungen. Dresden,  1864.  8®.  pp.  39. 

2".  Numerical  Equations. 

Budan  de  Boislaurent,  (F.)  F.  D.  Nouvelle 
m^thode  pour  la  resolution  des  Equations  nume* 
riques  d’un  degre  quelconque,  revue,  augment^e 
d’un  appendice  et  suivie  d’un  apper9u  [j/r]  concer- 
nan*^  les  suites  syntagmatiques.  Paris,  1&2.  40. 

pp.  viii.,  12 1. 

Egeu,  P.  N.  C.  Ueber  die  Methoden,  Zahlen- 
gleichungen  durch  Naherung  aufzulosen.  Soest, 
[1829].  40.  f.  (I),  pp.  33. 

Exner,  . Auflosung  der  numerischen 

Gleichungen  aller  Grade  mit  einer  Unbekannten, 
entwickelt  an  den  Gleichungen  des  sechsten  Grades. 
Hirschberg,  1866.  40.  pp.  32. 

Fourier,  J.  B.  J.,  CotJite.  Analyse  des  Equations 
determinees.  [Edited  by  M.  Navier.]  i^pt.  Paris, 
1831.  40.  ff.  (2),  pp.  xxiv.,  258. 

Konitsser,  J.  S.  Ueber  die  Auflosung  hoherer 
Gleichungen  mit  Hilfe  der  arithmetischen  Reihen ; 
nebst  einer  trigonometrischen  Losung  des  Casus  ir- 
reducibilis.  Neu-Ruppin,  [1830].  40.  pp.  22. 

Lagrange,  J.  L.,  comte  de.  De  la  resolution 
des  equations  numeriques  de  tons  les  degres.  Paris, 
an  vi.  [1798].  40.  pp.  viii.,  268. 

Same.  Nouvelle  ^d.,  revue  et  augment^e. 

Paris,  1808.  40.  pp.  xii.,  311+. 

Same.  3®  ^d.,  conform^  a celle  de  1808, 

et  pr^c^dee  d’une  analyse  de  I’ouvrage,  par  M. 
Poinsot.  Paris,  1826.  4®.  pp.  xxviii.,  314-f- 

Maseres,  or  Maz^res,  F.  Tracts  on  the  reso- 
lution of  affected  algebraick  equations  by  Dr.  Hal- 
ley’s, Mr.  Raphson’s  and  Sir  Isaac  Newton’s  meth- 
ods of  approximation.  London,  1800.  8®.  pp. 

Ixxviii.,  f.  (i),  pp.  479. 

Nicholson,  P.  Essay  on  involution  and  evolu- 
tion, containing  a new,  accurate,  and  general  method 
of  ascertaining  the  numerical  value  of  any  function 
of  an  unknown  quantity ; particularly  aj)plied  to  the 
operation  of  extracting  the  roots  of  equations.  Lon- 
don, 1820.  8®.  pj).  xxvi.,  50,  16. 

Lettered  “ Mathematical  pamphlets.” 

New  demonstration  of  the  method  invented 

by  Budan,  and  improved  by  others,  of  extracting  the 
roots  of  equations.  London,  1822.  8®,  pp.  8. 

From  the  Philosophical  magazine  for  .Sep L 1822.  — Bd.  with 
his  “Analytical  and  arithmetical  essays.” 

Oughtred,  W.  The  key  of  the  mathematicks 
new  forged  and  fded ; with  a treatise  of  the  resolu- 
tion of  all  kinde  of  affected  lequations  in  numbers ; 
with  the  rule  of  compound  usury,  and  demonstra- 
tion of  the  rule  of  false  position;  and  [the]  art  of 
delineating  all  manner  of  plaine  sun-dyalls,  geomet- 
rically taught.  London,  1647.  sm.  8®.  ff.  (6), 
pp.  174,  29. 

Sarrus,  (P.)  F.  Nouvelle  m^thode  pour  la  re- 
solution (les  equations  numeriques.  Paris,  etc., 
1833.  8®.  I))).  31. 

Lettered  “ Afathematical  pamphlets.” 

Schulz  von  Strassnicki,  L.  C.  Neue  Me- 
thtjde  zur  Auffindung  der  reellen  Wurzeln  hoherer 
numerischer  Gleichungen  und  zur  Ausziehung  der 
dritten  und  der  hoheren  Wurzeln  aus  bestiinmten 
Zahlen ; zunachst  imeh  inglischen  Quellen  bear- 
beitet.  Wien,  1842.  1.  8®.  pp.  vi.,  132. 


Stoltzenburg, . Das  Aufsuchen  der  irra- 

tionalen  Wurzeln  einer  Gleichung.  Landsberg, 
a.  d.  W.,  [1863].  4®.  pp.  15. 

Sturm,  J.  C.  F.  Memoire  sur  la  resolution  des 
equations  numeriques.  [Paris,  1835.]  4®.  f.  (i), 
pp.  273-318. 

From  vol.  vi.  of  the  “ Memoires  des  savants  Strangers.” 

Weisseiiborn,  C.  De  spectatissimis  quibus 
aequationes  altioris  gradus  numericae  solviintur  me- 
thodis.  Berolini,  1847.  8®.  f.  (i),  pp..  73-|-. 

3.  Syste7ns  of  Equatio7ts,  and  Elimmation. 

(See  also  Determinants.) 

Baltzer,  R.  Ueber  die  Auflosungen  eines  Sys- 
tems von  Gleichungen.  Dresden,  1868.  8®.  pp.  31. 

Garnier,  J.  G.  Discussion  des  racines  des  equa- 
tions determinees  du  premier  degre,  a plusieurs  in- 
connues,  et  elimination  entre  deux  equations  de  de- 
gres quelconques  a deux  inconnues ; 2®  ed.  Paris, 
1813.  8®.  ff.  (2),  pp.  99,  ff.  (2). 

c.  Continued  Fractions. 

Bre<3ow,  F.  C.  F.  Von  den  Perioden  der  Ket- 
tenbriiche.  Oels,  [1846].  4®.  pp.24. 

d.  Rational  Fractions. 

Berlin,  C.  G.  De  decompositione  fractionum 
rationalium.  Londini  Gothorum,  1824.  4®.  pp.  22. 

Jacobi,  K.  G.  J.  Disquisitiones  analyticoe  de 
fractionibus  simplicibus. — Diss.  inaug.  Berolini, 
[1825].  4®.  f.  (I),  pp.  40-I-. 

Annuities,  Interest  and  Insurance. 

Attensperger,  F.  X.  Anwendungen  der  Pro- 
gressionen  und  Logarithfnen  auf  Rechnungsfalle 
des  biirgerlichen  Lebens.  Wiirzburg,  [1851].  4®. 

pp.  42. 

Baily,  F.  The  doctrine  of  interest  and  annui- 
ties analytically  investigated  and  explained;  with  ta- 
bles connected  with  the  subject.  London,  1808. 
4®.  pp.  xiv.,  f.  (i),  pp.  14.1,  ff.  (31). 

'I'lidorie  des  annuites  viag^res  et  des  assu- 
rances sur  la  vie,  suivie  d’une  collection  de  tables; 
traduit  de  I’anglais  par  A.  de  Courcy,  et  public  par 
la  compagnie  d’assurances  g^n^rales  sur  la  vie. 
Paris,  1836.  2 V.  in  1.  8®. 

Contents;  — i.  'I'h^orie,  etc. — li.  Questions  praticjiies,  tables. 

Baylis,  E.  The  arithmetic  of  annuities  and  life 
assurance,  or  Compound  interest  simplified;  ex- 
plaining tlie  value  of  annuities  certain,  or  contingent 
on  one  or  two  lives,  and  the  values  of  assurances  in 
single  and  annual  payments  and  comprehending  the 
values  of  leases,  pensions,  freeholds  and  reversionary 
sums.  London,  1844.  8®.  pp.  (157). 

Bliiniel,  . Versicherung  von  Erziehungs- 

geldern.  Ilohenstein,  18O2.  4®.  f.  (i),  pp.  36. 

Chisholm,  D.  Commutation  tables  for  joint  an- 
nuities & survivorship  assurances,  based  on  the 
Carlisle  mortality  at  3,  3^,  4,  5,  and  6 per  cent,  in- 
terest, with  tables  of  annuities  & assurances  on 
single  lives,  and  other  tables,  and  an  introduction 
on  their  construetion  & use.  London,  1858.  2 v. 

8®. 

Contents:  — i.  Introduction,  monetary  mhlcs,  life  tables 
ii.  Formula;,  survivorship  commutation  tables. 

Davies,  G.  Treatise  on  annuities,  with  tables, 
based  on  the  experience  of  the  JOquitable  society  and 
on  the  Northampton  rate  of  mortality,  l.ondon, 
n.  d.  8®.  pp.  xii.,  380,  ff.  (71). 


28 


IVORKS  JiELATING  TO  MATHEMATICS. 


De  Moivre,  A.  Annuities  on  lives;  3d  ed., 
with  tables,  exhibiting  the  values  of  lives,  for  sev- 
eral rates  of  interest.  London,  1750.  sm.  8®. 
pp.  xii.,  1 1 7. 

Deutz,  J,  Specimen  mathematico  juridicum  in- 
augurate, ad  explicationem  nonnullarum  legum. 
Lugduni  Batavorum,  1765.  40.  ff.  (2),  pp.  27-}-. 

liitze, . Kurze  Darstellung  der  Zinseszins- 

und  Rentenrechnung,  nebst  deren  Anwendung,  na- 
mentlich  zur  Bestimmung  der  an  Lebensversicher- 
ungs-Anstalten  und  Wittwen-Cassen  zu  zahlenden 
Beitrage.  Stendal,  1858.  40.  f.  (i),  pp.  8. 

Farr,  W.  English  life  table. — Tables  of  life- 
times, annuities,  and  premiums,  with  an  introduc- 
tion; published  by  authority  of  the  registrar-gen- 
eral of  births,  deaths,  and  marriages  in  England. 
London,  1864.  sm.  fo.  ff.  (2),  pp.  civ.,  605. 

Galezowski,  J.  Tables  des  annuites,  calculdes 
d’apres  la  methode  logarithmique  de  F.  Thoman. 
Paris,  1880.  80.  ff.  (2),  pp.  43+. 

Gumersall,  T.  B.  Tables  of  discount,  or  sim- 
ple interest,  at  the  several  rates  of  5,  4^,  4,  3^,  3, 
& 2^  per  cent.,  from  i to  365  days,  and  from  to 
;^20,ooo ; to  which  are  added  tables  of  brokerage 
or  commission;  9th  ed.  London,  [185-?].  8°. 

ff.  (4),  pp.  486. 

Jones,  D.  On  the  value  of  annuities  and  rever- 
sionary payments,  with  tables  ; to  which  is  appended 
a tieatise  on  probability,  by  Sir  J.  W.  Lubbock  and 
J.  E.  Drinkwater-Bethune.  London,  1844.  2 v. 

8®.  (Society  for  the  diffusion  of  useful 
knowledge.  Library  of  useful  knowledge. ) 

Contejits  : — i.  Monetary  tables,  annuity  tables,  assurances. 
— ii.  Annuities,  rates  of  mortality,  life  tables. 

Vol.  i.  has  pp.  65-128  in  duplicate  corrected. 

Jones,  J.  A series  of  tables  of  annuities  and 
assurances  calculated  from  a new  rate  of  mortality 
amongst  assured  lives  with  examples  illustrative  of 
their  construction  and  application.  London,  etc., 
1843.  80.  f (i),  pp.  2,  XXX.,  55,  ff.  (32). 

Orchard,  W.  Single  and  annual  assurance 
premiums,  for  every  value  of  annuity,  on  single  or 
joint  lives,  or  survivors,  adapted  to  any  table  of  mor- 
tality, at  2>^,  3,  y/2,  4,  4^,  5,  6 and  7 per  cent. ; 
also,  a table  for  the  formation  of  half  yearly  & quar- 
terly assurance  premiums ; 2d  issue,  with  prelimi- 
nary notice  by  P.  Gray.  London,  1856.  1.  8®. 

pp.  4,  ff.  (39). 

Price,  R.  Observations  on  reversionary  pay- 
ments ; on  schemes  for  providing  annuities  for  wid- 
ows, and  for  persons  in  old  age ; on  the  method  of 
calculating  the  values  of  assurances  on  lives;  and 
on  the  national  debt;  3d  ed.,  with  a supplement. 
Dublin,  1772.  8°.  pp.  xv.,  334. 

Rowlett,  J.  Tables  of  discount,  or  interest; 
besides  a complete  cent  table  : the  whole  computed 
at  six  per  cent.  Philadelphia,  1802.  40.  pp.  200. 

[ Scratchley,  A.  ] Actuarial  tables  and  formulae, 
with  mathematical  notes;  no.  i.  London,  1862. 
8‘>.  {Appended  to  his  Treatise  on  life  assurance, 
etc.  1867,  8«  pp.  233-309.) 

'I'reatise  on  life  assurance  and  reversions ; 

containing  mathematical  ajipendices  and  tables,  and 
inslructions  for  the  calculation  of  values  of  rever- 
sions, of  ])o.st  obits,  of  policies  of  assurance,  divi- 
sions of  bonus,  mathematical  and  moral  probabili- 
ties, sickness  in  friendly  societies,  &c.  ; also  an  al- 
phabetical digest  of  the  law;  new  ed.  London, 
1867.  8‘».  pp.  7,  vii.,  64,  74,  16,  39,  7. 

Thoman,  F.  Theory  of  compound  interest  and 
annuities,  with  a series  of  logarithmic  tables  ; 2d 
ed.  London,  1872.  12°.  pp.  xviii.,  128,  ff.  (34). 

ltd.  with  Lintem’s  “Mineral  surveyor  & valuer’s  guide." 


Turnbi^,  A.  H.  Tables  of  compound  interest 
and  annuities,  yearly,  half-yearly,  and  quarterly 
payments  in  decimals  and  currency,  with  rules  for 
determining  the  amount  of  principal  and  interest  in 
any  payment  of  annuity,  and  for  the  construction  of 
tables  showing  the  same.  Edinburgh,  1863.  8®. 

pp.  XXV.,  143. 

Wright,  E.  Savings  bank  life  insurance : with 
tables,  analyzing  the  premiums,  per  $1000,  of  268 
policies,  showing  the  insurance,  self-insurance  and 
surrender  value  of  each  for  every  policy-year,  by  the 
actuaries’  rate  of  mortality  at  4 per  cent.  Boston, 
1872.  fo.  pp.  30,  181. 

Tables  on  the  “American”  rate  of  mortal- 
ity, at  4^  per  cent.,  for  calculating  reserves  and  in- 
surance values.  Boston,  1872.  fo.  ff.  (14). 

^ Valuation  tables,  on  the  “combined  expe- 

rience,” or  “actuaries’”  rate  of  mortality;  2d  ed., 
revised  and  enlarged.  Boston,  1871.  fo.  pp.  12, 
203. 

Arithmetic. 

Adams,  D.  Arithmetic,  in  which  the  principles 
of  operating  by  numbers  are  analytically  explained 
and  synthetically  applied.  Keene,  N.  H.,  i8'?8. 
120.  pp.  180. 

Adhemar,  J.  Traitds  d’arithm^tique  et  d’al- 
gebre;  30  ed.  Paris,  1880.  80.  pp.  xvi.,  496. 

Alexander,  C.  A new  and  complete  system  of 
arithmetic;  2d  ed.  Albany,  1806.  120.  pp.  216. 

Baker,  H.  The  well-spring  of  sciences,  teach- 
ing the  perfect  worke  and  practise  of  arithmetick, 
both  in  numbers  and  fractions.  London,  1646. 
sm.  80.  ff.  (5),  pp.  312,  ff.  (22). 

Barreme,  F.  Le  livre  facile  pour  aprendre 
[jzV]  I’arithmdtiqve  de  soy  mesme  et  sans  maistre. 
Paris,  1672.  120.  ff.  (18),  pp.  199-I-. 

Bertrand,  J.  (L.  F.).  Traite  d’arithmetique ; 
70  ed.  Paris,  1880.  80.  ff.  (2),  pp.  337,  ff.  (2). 

Bhascara  Acharya.  Lilawati : or,  A treatise 
on  arithmetic  and  geometry;  translated  from  the 
original  Sanscrit  by  J.  Taylor.  Bombay,  1816.  40. 
ff.  (4),  pp.  39,  161. 

Same.  A treatise  on  arithmetic,  trans- 
lated into  Pei'sian,  from  the  Sanscrit,  by  the  cele- 
brated Feizi.  Calcutta,  1827.  80.  f.  (i),  pp.  162. 

Boetius,  A.  M.  T.  S.  De  institutione  arith- 
meticalibri  duo;  de  institutione  musicalibri  quinque ; 
accedit  geometria  quae  fertur  Boetii ; edidit  G. 
Friedlein.  Lipsiae,  1867.  sm.  80.  pp.  viii.,  492. 

Bourdon,  P.  L.  M.  ^dements  d’arithmetique ; 
ouvrage  adopts  par  I’universite ; 30®  ed.  Paris, 
1857.  80.  pp.  viii.,  371. 

Breimecke,  W.  H.  Einige  Satze  aus  den  An- 
fangsgriinden  der  Zahlenlehre.  Posen,  [1855]. 
40.  f.  (I),  pp.  32. 

Briem,  E.  Reikningsbdk  ; 2.  litgafa  ; i.  partur. 
Reykjavik,  1867.  160.  pp.  iv.,  75. 

Byrne,  O.  Dual  arithmetic;  anew  art.  New 
issue,  with  a complete  analysis.  London,  etc.,  1864. 
80.  pp.  vi.,  f.  (i),  i)p.  244. 

Sajne.  Pt.  ii.  The  descending  branch  of 

the  “art”  and  the  “science”  of  dual  arithmetic. 
London,  1867.  8”.  pp.  xvi.,  xii.,  218. 

[Cataldi,  or  Cataldo,  P.  A.]  Prima  parte 
della  pratica  aritmetica,  overo  Elcmenti  pralici  delli 
nvmeri  aritmetici ; data  hora  in  luce  da  Perilo  An- 
notio.  Bologna,  1602.  4®.  ff.  (6),  pp.  148. 

Perilo  Annotio  is  the  anagram  of  Pietro  Antonio. 

Seconda  parte;  overo  Element!  pratici  delli 


CORNELL  UNIVERSITY, 


29 


nvmeri  geometrici.  Bologna,  1606.  40.  ff.  (2), 

pp.  151. 

[Cataldi,  or  Cataldo,  P.  A.]  Terza  parte; 
overo  Element!  pratici  dell!  nvmeri  natvrali,  o’  de- 
nominati.  Bologna,  1617.  40.  fif.  (2),  pp.  149-I— 

Qvarta  parte ; done  si  tratta  della  princi- 

palissima,  & necessarijsima  regola  chiamata  comu- 
nemente  del  tre.  Bologna,  1616.  40.  If.  (2), 
pp.  104. 

Regola  della  qvantit^,  o cosa  di  cosa.  Bo- 
logna, 1618.  40.  ff.  (2),  pp.  34. 

Ceulen,  L.  van.  Fvndamenta  arithmetica  et 
geometrica  cum  eorundem  usu  in  varijs  problematis  ; 
e vernaculo  in  Latinum  translata  a W.  Sn[ell]. 
Lvgdvni  Batavorvm,  1615.  40.  ff.  (2),  pp.  269. 

Chase,  P.  E.  The  common-school  arithmetic. 
Worcester,  Mass.,  1848.  12®.  pp.  256. 

Key.  Worcester,  Mass.,  1848.  1 20. 

PP-  31- 

The  elements  of  arithmetic ; in  which  dec- 
imal and  integral  arithmetic  are  combined  and  taught 
inductively  on  the  system  of  Pestalozzi.  Pt.  i. 
Philadelphia,  1844.  120.  pp.  144. 

Cocker,  E.  Decimal  arithmetick,  wherein  is 
shewed  the  nature  and  use  of  decimal  fractions  in 
the  usual  rules  of  arithmetick  and  the  mensuration 
of  plains  \sic'\  and  solids,  with  tables  of  interest  and 
rebate  for  the  valuation  of  leases  and  annuities ; cor- 
rected and  published  by  J.  Hawkins ; 6th  ed.  Lon- 
don, 1729.  sm.  8®.  pp.  xvi.,  448. 

Colburn,  W.  Intellectual  arithmetic  upon  the 
inductive  method  of  instruction.  Philadelphia,  eic., 
1835.  120.  pp.  172.  (Colburn’s  first  lessons.) 

Same.  With  an  introduction  to  written 

arithmetic  by  his  son.  Boston,  [cop.  1858].  i6«. 

PP-  173-  (Colburn’s  first  lessons. — Newed.) 

Cornwell,  J.,  and  J.  G.  Fitch.  The  science 
of  arithmetic ; a systematic  course  of  numerical  reas- 
oning & computation,  with  exercises ; 3d  ed.  Lon- 
don, etc.,  1857.  120.  pp.  372. 

Daboll,  N.  Schoolmaster’s  assistant  improved 
and  enlarged,  being  a plain  practical  system  of 
arithmetic;  with  the  addition  of  the  Farmers’ and 
mechanics’  best  method  of  book-keeping  by  S. 
Green.  Utica,  1832.  12®.  pp.  240,  ff.  (6). 

Same.  Utica,  1834.  12°.  pp.  249,  ff.  (6). 

Same.  Utica,  1837.  120.  pp.  240,  ff.  (6). 

Same.  Utica,  1839.  12®.  pp.  240,  ff.  (6). 

Same.  Ithaca,  1841.  12".  pp.  228, 

ff.'(6). 

Davies,  C.  First  lessons  in  arithmetic.  New 
York,  etc.,  1854.  120.  pp.  198. 

University  arithmetic,  embracing  the  sci- 
ence of  numbers  and  general  rules  for  their  applica- 
tion. New  York,  etc.,  1870.  I2«.  pp.  466. 

Key.  New  York,  1853.  12®.  jip.  51. 

De  Morgan,  A.  I'he  elements  of  arithmetic ; 
5th  ed.,  enlarged.  London,  1846.  12®.  jip.  vi., 

f.  (1),  ])p.  220. 

Dilworth,  T.  The  schoolmaster’s  assistant ; 
being  a compendium  of  arithmetic,  both  jiractical 
and  theoretical;  newed.  London,  179^.  pt.  in 
I V.  i6«.  pp.  200. 

Eaton,  J.  S.  A treatise  on  arithmetic,  combin- 
ing analysis  and  synthesis,  adapted  to  the  best 
mode  of  instruction  in  common  schools  and  acade- 
mies. Boston,  1857.  120.  pp.  viii.,  355. 

Emerson,  F.  The  North  American  arithmetic. 
Pt.  i.  Boston,  1829.  120. 

Contents  : — Elementary  lessons. 


Emerson,  J.  Female  education ; a discourse, 
to  which  is  added  the  little  reckoner,  consisting 
principally  of  arithmetical  questions  for  infant  minds. 
Boston,  1822.  12®.  pp.  40. 

Emerson,  "W.  A treatise  of  arithmetic,  con- 
taining all  the  practical  parts  thereof,  both  in  whole 
numbers,  vulgar  fractions  and  decimals,  likewise  the 
theory  of  numbers.  [London,  1763.]  8®.  pp.  8, 

244- 

Fisher,  G.  C.  A teacher’s  manual  in  arithmetic 
for  primary  grades.  Boston,  1881.  160.  pp.  70. 

French,  J.  H.  Common  school  arithmetic, 
combining  the  elements  of  the  science  with  their 
practical  applications  to  business.  New  York, 
1869.  12®.  pp.  335+.  (French’s  mathematical 

series.) 

Garnier,  J.  G.  Traitd  d’arithm^tique ; 4®  ^d. 
Gand,  1818.  8®.  pp.  xvi.,  316-f-. 

Gemma  Frisius  {Dutch  de  Fries),  R.  Arith- 
meticae  practicse  methodvs  facilis,  iam  recens  ab 
ipso  authore  emendata  & multis  in  locis  insigniter 
aucta ; hvc  accesservnt  I.  Peletarij  annotationes ; 
eiusdem  item  de  fractionibus  astronomicis  compen- 
dium. Parishs,  1578.  sm.  80.  ff.  (i),  93,  (2). 

Gerhardt,  C.  I.  Uber  die  Enstehung  [j/V]  und 
Ausbreitung  des  dekadischen  Zahlensystems.  Salz- 
wedel,  1853.  40;  f.  (i),  pp.  35. 

Greenleaf,  B.  New  practical  arithmetic,  in 
which  the  science  and  its  applications  are  simplified 
by  induction  and  analysis.  Boston,  etc.,  1868.  12®. 

pp.  324. 

Hassler,  F.  R.  Vollstandiges  Lehrbuch  der 
theoretischen  und  angewendeten  Arithmetik.  Aa- 
rau,  1834.  8«.  pp.  240. 

On  the  title-page  the  author  is  styled,  “ Geometer  der  verein- 
igten  Staaten  von  Nordamerika.” 

Elements  of  arithmetic,  theoretical  and 

practical;  new  stereotype  ed.,  revised  and  cor- 
rected. New  York,  1828.  120.  pp.  215-I-. 

Hodder,  J.  Arithmetick,  or  that  necessary  art 
made  most  easie  ; 14th  ed.,  revised,  [and]  aug- 
mented, by  II.  Mose.  London,  1683.  120.  ff  (5), 

])p.  216. 

Jean,  A.  Arithm^tiqve  av  miroir,  par  laquelle 
on  peut  (en  quatre  vaccations  [j/V]  de  demie  heure 
chacune)  prati(juer  les  plus  belles  regies  d’icellc. 
n.  p.,  1649.  sm.  8<h  ])p.  15,  54-f,  17* 

After  the  first  15  pages  the  book  is  engraved;  the  second 
engraved  title-page  is  dated  1636. 

Johnson,  L.  An  elementary  arithmetic,  de- 
signed for  beginners,  embracing  the  first-  jirinciples 
of  the  science.  Raleigh,  N.  C.,  1864.  I2«.  ])p. 

154- 

Has  a chapter  on  Confederate  currency,  and  such  problems 
as  the  following  ; — “If  one  Confederate  soldier  can  whip  7 
Yankees,  how  many  soldiers  can  whip  49  Yankees?” 

Lacroix,  S.  F.  'I'raitd  ^h^mentaire  d’arithm^*- 
tiejue;  20®  dd.,  revue  et  augmentde.  Paris,  1848. 
8®.  pp.  xiv.,  160. 

Lee,  C.  'Phe  American  accomptant ; being  a 
compendium  of  federal  arithmetic,  i.ansingburgh, 
1797.  12®.  jip.  297-}-. 

Leslie,  J.  The  philosophy  of  arithmetic ; ex- 
hibiting a progressive  view  of  the  theory  and  prac- 
tice of  calculation,  with  tables  for  the  multiplication 
of  numbers  as  far  as  looo ; 2(1  ed.,  improved  and 
enlarged.  Edinburgh,  etc.,  i860.  8®.  ff  (2), 

pp.  258. 

Loomis,  E.  A treatise  on  arithmetic,  theoret- 
ical and  practical;  7th  ed.  New  York,  1868.  12®. 

PP-  331- 

Same.  New  York,  1870.  12®.  pp.  34$. 


3° 


IVORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


Malcolm,  A.  A new  system  of  arithmetick, 
theorical  [j/V]  and  practical ; wherein  the  science  of 
numbers  is  demonstrated  so  as  to  make  the  whole  a 
complete  system  of  theory.  London,  1730.  40. 

pp.  XX.,  623+. 

Martinez  de  Lizarraga,  P.  J.  Principios  de 
arismetica.  Mexico,  1804.  sm.  40.  if.  (4),  pp. 

43+- 

Maurolico  {Lat.  Maurolycus),  F.  Arith- 
meticorum  libri  duo,  nunc  primum  in  lucem  editi. 
Venetijs,  1575.  4®. 

Muller,  A.  Arithmetischer  Cursus  fur  Unter- 
Tertia.  Wittenberg,  1865.  4®.  f.  (i),  pp.  28. 

Palmer,  A.  A key  to  the  endless,  self-comput 
ing  scale,  showing  its  application  to  the  different 
rules  of  arithmetic,  &c.  Boston,  1844.  18®.  pp. 

50- 

Perkins,  G.  R.  Higher  arithmetic,  in  which 
some  entirely  new  principles  are  developed,  and 
rules  given,  which  have  never  before  appeared  in 
any  arithmetic;  stereotype  ed.,  revised  and  im- 
proved. New  York,  i860.  12®.  pp.  342. 

Pike,  N.  The  new  complete  system  of  arith- 
metic ; abridged  for  the  use  of  schools ; 4th  ed. 
Boston,  1802.  12®.  pp.  352. 

Abridgment  of  The  new  and  complete  sys- 
tem. Newburyport,  1793.  12®.  pp.  371. 

Quackenbos,  G.  P.  A higher  arithmetic, 
upon  the  basis  of  the  works  of  G.  R.  Perkins. 
New  York,  1874.  12®.  pp.  420.  (Appletons’ 

mathematical  series.) 

A practical  arithmetic;  upon  the  basis  of 

the  works  of  G.  R.  Perkins.  New  York,  etc., 
1868.  12®.  pp.  336.  (Appletons’  mathematical 

series.) 

Ray,  J.  The  principles  of  arithmetic  analyzed 
and  practically  applied,  for  advanced  students  ; ed- 
ited by  C.  E.  Matthews  ; revised  ed.  Cincinnati, 
etc.,  n.  d.  12®.  pp.  370.  (Eclectic  educational 
course. ) 

Record,  R.  Arithmetick,  or  The  ground  of 
arts;  augmented  by  J.  Dee;  enlarged  with  a third 
part  of  rules  of  practice,  abridged  by  J.  Mellis  ; and 
now  corrected,  illustrated  and  inlarged,  with  an  ap- 
pendix of  figurative  numbers,  and  the  extraction  of 
their  roots  by  R.  Hartwell.  London,  1668.  sm.  8®. 
ff.  (10),  pp.  536. 

Reid,  H.  First  lessons  in  arithmetic.  London, 
1853.  8®.  pp.  vi.,  f.  (I),  pp.  1 1 7. 

Serret,  J.  A.  Traite  d’ariihmetique ; 6®  ^d., 
revue  par  J.  A.  Serret  et  C.  de  Comberousse.  Paris, 
1875.  8®.  pp.  X.,  f.  (i),  pp.  325. 

Smith,  Barnard.  School  class  book  of  arith- 
metic. Cambridge,  etc.,  1864.  3 pt.  in  i v.  18®. 

Key.  Cambridge,  <?/<:.,  1865.  3pt.  iniv. 

16®. 

[Stephensen,  O.]  Stutt  Undirvisun  f Reik- 
nnigsILstinni  og  Algebra.  Kaupmannahofn,  1785. 
16®.  ff.  (8),  ])p.  248. 

Stevens,  B.  A new  and  concise  system  of 
aritliriielick,  containing  vulgar,  decimal  and  loga- 
rithmical  arithmetick.  Saratoga  Springs,  N.  Y., 
1822.  8®.  pp.  423. 

Tartaglia,  N.  La  prima  parte  del  general  trat- 
tato  fli  nvmeri,  et  misvre  nella  qvale  in  diecisette 
libri  si  dichiara  tvtti  gli  atti  operativi,  pratiche,  et 
rcgolc  neccssarie  in  ogni  arte  scientia  ouer  disciplina, 
done  interuenghi  il  calculo.  Vinegia,  1556.  f®. 

ff.  (5),  277. 

La  scconda  parte  del  general  trattato  di  nv- 


meri, et  misvre,  nella  qvale  in  vndici  libri  si  notifica 
la  piv  ellevata,  et  specvlativa  parte  della  pratica 
arithmetica.  Vinegia,  1556.  f®.  ff.  (4),  186. 

Thomson,  J.  B.  Higher  arithmetic,  or  The 
science  and  application  of  numbers ; combining  the 
analytic  and  synthetic  modes  of  instruction;  50th 
ed.  New  York,  etc.,  1856.  12®.  pp.  422.  (Day 

and  Thomson’s  series. ) 

New  practical  arithmetic.  New  York, 

1873.  12®.  pp.  384.  (Thomson’s  new  graded 

series.) 

Tracy,  C.  A key  to  the  commercial  and  me- 
chanical arithmetic.  Philadelphia,  i8i;2.  12®. 

pp.  130. 

Uhdolph,  J.  Einige  Elementarbegriffe  der 
Arithmetik.  Gross  - Glogau,  1866.  4®.  f.  'i), 

pp.  12. 

Walker,  W.  F.  Arithmetic.  Troy,  N.  Y., 
1841.  8®.  pp.  231-}-. 

Wiegand,  A.  Lehrbuch  der  allgemeinen 
Arithmetik ; 6®  Aufl.  Halle,  1871.  8®.  ff.  (4), 

pp.  138. 

A Iso  ivitk  the  title  : — “ Lehrbuch  der  Mathematik.” 

Zuchetta,  G.  B.  Prima  parte  della  arimmetica; 
per  la  quale  con  mirabile  ordine,  & nuoue  regole  si 
risolue  con  marauigliosa  facilita  ogni  dubbio  mercan- 
tesco.  Brescia,  1600.  f®.  ff.  (13),  pp.  412,  ff.  (2). 

Astronomy. 

Airy,  Sir  G.  B.  Popular  astronomy ; a series 
of  lectures.  London,  etc.,  1866.  24®.  pp.  xii., 

292. 

Astronomy  [from  the  Encyclopedia  metropoli 
tana.  London,  1824.]  4®.  pp.  486-734. 

Beckett,  SirH.,  ^tk  bart.,  originally  E.  Deni- 
son. Astronomy  without  mathematics ; from  the 
4th  London  ed. ; edited  with  corrections  and  notes, 
by  P.  E.  Chase.  New  York,  1869.  12®.  pp.  357. 

Blake,  J.  L.  First  book  in  astronomy;  im- 
proved ed.  Boston,  1842.  8®.  pp.  120. 

Bonnycastle,  J.  An  introduction  to  astrono- 
my, in  a series  of  letters  from  a preceptor  to  his 
pupil;  6th  ed.,  corrected  and  improved.  London, 
1811.  8®.  pp.  viii.,  384. 

Brinkley,  J.,  bp.  of  Cloy ne.  Astronomy:  re- 
vised and  partly  re-written,  with  additional  chapters 
by  J.  W.  Stubbs  and  F.  Briinnow ; 2d  ed.,  enlarged. 
London,  1874.  sm.  8®.  pp.  xix.,  325. 

Chambers,  G.  F.  Descriptive  astronomy.  Ox- 
ford, 1867.  8®.  pp.  xxxviii.,  816. 

Denison,  E.  B.,  afterwards  Sir  E.  Beckett, 
^th  bart.  See  Beckett. 

Dubois,  E.  (P.).  Cours  d’astronomie  ; 3®  6d., 
augment^e.  Paris,  [1876].  1.  8®.  pp.  vi.,  xliv., 

806. 

Emerson,  W.  A system  of  astronomy,  con- 
taining the  investigation  and  demonstration  of  the 
elements  of  that  science.  London,  1769.  8®.  pp. 

X.,  ff.  (2),  pp.  368. 

Ferguson,  J.  An  easy  introduction  to  astron- 
omy; 3d  ed.  London,  1772.  8®.  ff.  (2),  pp.  252. 

Godfray,  H.  A treatise  on  astronomy.  Cam- 
bridge, etc.,  1866.  8®.  pp.  xvi.,  31 1. 

[Gould,  B.  A.,  yr.]  Review  of  Plerschel’s 
Outlines  of  astronomy.  Cambridge,  [Mass.],  1849. 
8®.  pp.  29. 

From  the  Christian  examiner  for  Sept.  1849. 

Guy,  J.  Elements  of  astronomy  and  an  abridg- 
ment of  Keith’s  New  treatise  on  the  use  of  the 


CORNELL  UNIVERSITY. 


3r 


globes  ; new  American  ed.,  with  additions  and  im- 
provements, and  an  explanation  of  the  astronomical 
part  of  the  American  almanac;  13th  ed.  Philadel- 
phia, 1835.  120.  pp.  viii.,  136,  173. 

, Herschel,  SirJ.  F.  W.,  bart.  Outlines  of  as- 
tronomy; anewed.  Philadelphia,  1859.  8®.  pp. 

557- 

Lockyer,  J.  N.  Elements  of  astronomy ; Amer- 
ican ed.,  revised.  New  York,  1870.  120.  pp. 

312. 

M’Intire,  J.  A new  treatise  on  astronomy  and 
the  use  of  the  globes.  New  York,  1866.  12®. 

pp.  326. 

[Malkin,  Sir  B.  H.]  Astronomy.  Pt.  i.-viii. 
London,  1830-34.  80.  (/«  Society  for  the  dif- 

fusion of  useful  knowledge.  Library  of  useful 
knowledge,  no.  80,  90,  1 15,  156,  158,  163,  164, 
166.) 

Manilius,  M.  Astronomicon  ex  editione  Bent- 
leiana  cum  notis  et  interpretatione  in  usum  Delphini 
variis  lectionibus  notis  variorum  recensu  editionum 
et  codicum  et  indice  locupletissimo  accurate  recen- 
situm.  Londini,  1828.  2 v.  8®. 

Moxon,  J.  A tutor  to  astronomie  and  geogra- 
phie ; or.  An  easie  and  speedy  way  to  know  the  use 
of  the  "globes,  coelestial  and  terrestrial,  in  six  books  ; 
whereunto  is  added  the  antient  poetical  stories  of  the 
stars,  as  also  a discourse  of  the  antiquity,  progress, 
and  augmentation  of  astronomie.  London,  1659. 
sm.  40.  ff.  (8),  pp.  40,  224. 

A Iso  with  the  engraved  title  : — “ Ductor  ad  astronomiam  & 
geographiam,”  etc. 

Newcomb,  S.  Popular  astronomy.  New 
York,  1878.  80.  pp.  xviii.,  571-I— 

Newcomb,  S.,  and  E.  S.  Holden.  Astron- 
omy for  students  and  general  readers ; 2d  ed. 
New  York,  1880.  120.  pp.  xi.,512.  (American 

science  series,  3.) 

Norton,  W.  A.  A treatise  op  astronomy, 
spherical  and  physical ; with  astronomical  problems, 
and  solar,  lunar,  and  other  astronomical  tables ; 4th 
ed.,  revised.  New  York,  1878.  1.  8®.  pp.  xiv., 

443.  115- 

Peabody,  S.  H.  The  elements  of  astronomy : 
written  for  the  mathematical  course  of  J.  Ray.  Cin- 
cinnati, etc..,  [cop.  1869].  80.  pp,  336.  (Eclectic 

educational  series. ) 

Plummer,  J.  I.  Introduction  to  astronomy. 
New  York,  1873.  i6c  pp.  174.  (Putnam’s  ele- 
mentary science  series.) 

Proctor,  R.  A.  Essays  on  astronomy ; a series 
of  paj)ers  on  planets  and  meteors,  the  sun  and  sun- 
surrounding space,  stars  and  star  cloudlets,  and  a 
dissertation  on  the  approaching  transits  of  Venus; 
)receded  by  a sketch  of  the  life  and  work  of  Sir  J. 
lerschel.  London,  1872.  8®.  pp.  xiv.,  f.  (1), 

pp.  401. 

'Pile  orbs  around  us  ; a series  of  familiar 

essays  on  the  moon  and  planets,  meteors  and  com- 
ets, the  sun  and  coloured  pairs  of  suns.  London, 
etc.,  1872.  80.  pp.  vii.,  f.  (i),  pp.  340. 

Ryaii,  J.  The  new  American  grammar  of  the 
elements  of  astronomy.  New  York,  1836.  120. 

pp.  342. 

Steele,  J.  D.  A fourteen  weeks  course  in  de- 
scriptive astronomy.  New  York,  1868.  12®.  pi). 

318. 

Watts,  I.  The  knowledge  of  the  heavens  and 
the  earth  made  easy;  or,  The  first  principles  of  as- 
tronomy and  geography;  6th  ed.  London,  1760. 
8°.  pp.  xiii.,  ff.  (6),  pp.  222. 


a.  Asteroids. 

Becker,  E.  E.  Nova  elementa  Amphitrites 
planetae  ex  observationibus  duodecim  oppositionum 
annorum  1854-68  deducta  et  cum  observatione  Bes- 
seliana  anni  1825  conciliata.  Sunt  additae  tabulae 
motum  planetae  Heliocentricum  usque  ad  annum 
1900  exhibentes. — Diss.  inaug.  Berolini,  [1869]. 
40.  pp.  24. 

Lorek,  E.  F.  Die  Bahn  der  Semele.  Konigs- 
berg,  [1868].  8®.  pp.  22-}-. 

Peters,  C.  P.  W.  Bahnbestimmung  der  (87) 
Sylvia. — Inaug. -Diss.  Gottingen,  1868.  40.  pp. 
17- 

Schoenfeld,  E.  Nova  elementa  Thetidis,  de- 
ducta ex  observationibus  annorum  1852  et  1853. 
Bonnae,  [1854].  40.  ff.  (2),  pp.  32-f-. 

Tiele,  B.  Nova  elementa  Eidei  planetae  de- 
dvcta  ex  observationibvs  qvinqve  oppositionvm  an- 
norvm  1855-61.  Bonnae,  [1861].  40.  ff.  (2), 

pp.  26-f. 

b.  Celestial  Alec/ianics. 

Bette,  W.  Was  lernen  wir  aus  der  Mecaniqtte 
celeste?  Halberstadt,  [1869].  40.  f.  (i),  pp.  54. 

Cauchy,  A.  L.,  Baron.  Sulla  meccanica  celeste 
e sopra  un  nuovo  calcolo  chiamato  calcolo  dei  limiti ; 
versione  italiana  con  note  [by  P.  Frisian!  and  G. 
Piola].  Milano,  1835.  40.  ff.  (2),  pp.  127,  82. 

Laplace,  P.  S.,  marquis  de.  Mecanique  ce- 
leste ; translated,  with  a commentary,  by  N.  Bow- 
ditch.  Vol.  ii.,  iv.  Boston,  1832-39.  4^. 

Satne.  Translated  from  the  French,  with 

notes,  by  H.  H.  Ilarte.  Pt.  i.  book  i,  2.  Dublin, 
1822-27.  2 books  in  i v.  40. 

Pontecoulaut,  (P.)  G.  (D.)  de,  Comte. 
Th^orie  analytique  du  systeme  du  monde  ; 2®  ed., 
augmentee.  Paris,  1856.  2 v.  8‘*. 

Resal,  (A.)  H.  Traitd  ^l^mentaire  de  mdca- 
nique  celeste.  Paris,  1865.  8^.  pp.  xvi.,  464. 

c.  Comets. 

Bond,  G.  P.  An  account  of  Donati’s  comet  of 
1858.  Cambridge,  [Mass.],  1858.  40.  f.  (i), 

PP-  33- 

I'rom  the  Mathematical  monthly. 

Continuation  of  account  of  the  comet  II, 

1861.  [New  Haven,  etc.,  1861.]  8«.  pp.  7. 

From  the  Amer.  journ.  of  science  ana  arts,  vol.  xxxii.,  Sept. 
1861. 

On  the  outline  of  the  head  of  the  comet  of 

Donati,  1858.  [Cambridge,  1861.]  8*’.  pp.  3. 

From  the  Froceedings  of  the  American  academy,  Oct.  1861. 

Deiiise,  A.  J.  van.  Dissertatio  astronomica 
inauguralis,  exhibens  determinationem  orbilac  co- 
metae  detect!  a Cl.  de  Vico,  die  20  m.  Fel).  a.  1846, 
ratione  habila  pcrturbationum  per  tempus  ai)j)ari- 
tionis.  Lugduni-Batavorum,  1849.  4^.  ff.  (4), 

pp.  63. 

Great  comet  (The)  of  1861  ; [in  part  by  G.  P. 
Bond.  New  Haven,  1861.]  8”.  pp.  9. 

“ From  the  advanced  sheets  of  Silliman’s  journal  for  Sept. 
1861.” 

Hall,  A.,  and'SfL.  Harkness.  Reports  on  ob- 
servations of  Encke’s  comet  during  its  return  in 
1871.  Washington,  1872.  4‘>.  ])p.  49. 

“ Washington  observations  for  1870. — Appendix  ii.” 

Rzepecki,  L.  V.  de  B.  De  orbita  cometae 
qui  anno  MDCCCLIV  primus  ai)|)aruit. — Diss.  in- 
aug. Vratislaviai,  [1857].  4®.  ff.  (3),  pp.  i4-f-. 


32 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


Valentiner,  (C.)  W.  (F.  J.).  Determinatio 
orbitae  cometae  V anni  MDCCCLXIII. — Diss.  in- 
aug.  Berolini,  [1869].  40.  fF.  (2),  pp.  24-I-. 

d.  Earth  ( The) ; its  Figure,  Rotation,  etc. 

Cheyne,  C.  H.  H.  The  earth’s  motion  of  ro- 
tation including  the  theory  of  precession  and  nuta- 
tion. London,  etc.,  1867.  160.  pp.  viii.,  52. 

La  Condamine,  C.  M.  de.  Mesure  des  trois 
premiers  degres  du  meridien  dans  I’hemisphere  aus- 
tral. Paris,  1751.  4®.  ff.  (6),  pp.  266,  x. 

Schell,  A.  Ueber  die  Bestimmung  der  mittler- 
en  Dichtigkeit  der  Erde.  Goettingen,  1869.  40. 

PP-  39- 

e.  Eclipses  a7id  Occultations. 

Coffin,  J.  H.  Solar  and  lunar  eclipses  familiar- 
ly illustrated  and  explained,  with  the  method  of  cal- 
culating them  according  to  the  theory  of  astronomy 
as  taught  in  New  England  colleges.  New  York, 
1845.  80.  pp.  83,  ff.  (10). 

Gerling,  C.  L.  Method!  projectionis  ortho- 
graphicae  vsvm  ad  calcvlos  parallacticos  facilitandos 
explicavit  simvlqve  eclipsin  solarem  die  vii.  Sept. 
1820  apparitvram.  Goettingae,  1812.  40.  pp.  48. 

With  autograph  notes. 

[Harkness,  W.,  and  others.~\  Reports  on  the 
total  solar  eclipses  of  July  29,  1878,  and  Jan.  ii, 
1880  [by  W.  Harkness,  L.  E.  Trouvelot,  G.  H.  E. 
Trouvelot,  S.  Newcomb,  J.  C.  Watson,  D.  G.  Ea- 
ton, A.  G.  Compton,  E.  S.  Holden,  C.  S.  Hastings, 

E.  W.  Bass,  C.  H.  Rockwell,  J.  E.  Keeler,  and 
others],  pp.  xiv.,  426.  (^Appended toXi.  S.  naval 
observatory.  Wash.,  D.  C.  Astronom.  and  me- 
teorol.  observations  made  during  1876 ; 1880,  40,  iii. ) 

Same,  separated.  Washington,  1880.  40. 

pp.  xiv.,  426. 

MoebiuB,  A.  F.  De  compvtandis  occvltationi- 
bvs  fixarvm  per  planetas.  Lipsiae,  1815.  40.  ff. 

(3),  pp.  42. 

Newcomb,  S.  On  the  recurrence  of  solar 
eclipses ; with  tables  of  eclipses  from  B.  C.  700  to 
A.  D.  2300.  Washington,  1879.  40.  pp.  55.  (As- 

tronom. papers  prepared  for  the  use  of  the  Amer. 
ephemeris  and  nautical  almanac,  i.  i.) 

[Sands,  B.  F.,  attd  others.')  Reports  on  obser- 
vations of  the  total  eclipse  of  the  sun,  Aug.  7,  1869 
[by  B.  F.  Sands,  S.  Newcomb,  W.  Harkness,  J.  R. 
Eastman,  E.  Curtis,  J.  H.  Lane,  W.  S.  Gilman,  jr., 

F.  W.  Bardwell,  A.  J.  Myer,  and  A.  Hall],  pp. 
V.+,  f.(i),  pp.  218.  (Appe^ided  to  U.  S.  naval 
observatory.  Wash.,  D.  C.  Astronom.  and  me- 
tcorol.  observations  made  during  1867 ; 1870,  40,  ii.) 

[ ] Reports  on  observations  of  the  total  so- 

lar eclipse  of  Dec.  22,  1870  [by  B.  F.  Sands,  .S. 
Newcomb,  A.  Hall,  W.  Harkness,  and  J.  R.  East- 
man]. pp.  iv.,  ff.  (2),  pp.  132.  {Appended  to 
U.  S.  naval  observatory,  Wash.,  D.  C.  As- 
tronom. and  mcteorol.  observations  made  during 
1869;  1872,  4^*,  i.) 

.Satne,  separated.  Washington,  1871.  4". 

pp.  iv.,  ff.  (2),  pp.  132. 

Smithsonian  institution,  Washington,  D.  C. 
The  nnnular  cclij)sc  of  May  26,  1854,  published  by 
the  Smithsonian  institution  and  Nautical  almanac, 
['fables.]  Washington,  1854.  1.  8‘h  pp.  13. 

Total  eclipse  (The)  of  July  17,  i860;  published 
by  the  nautical  almanac.  Washington,  i860.  1.  80. 

I'P- 


f.  Elliptic  Motion. 

Kletke,  C.  A.  Entwickclung  des  Kepler’schen 
Problems:  “ Aus  der  miltleren  Anomalie  eines  in 
einer  elliptischen  Bah  n.sich  bewegenden  Weltkor- 
pers  die  wahre  Anomalie  desselben  zu  finden.” 
Breslau,  1852.  4«.  f.  (i),  pp.  36. 

g.  G lobes,  etc. 

Fleming,  A.  Lessons  in  geography  and  astron- 
omy on  the  globes.  Boston,  1844.  120.  pp.  106. 

Tellurion  manufacturing  co.,  Hartford, 
Conn.  An  epitome  of  astronomy,  arranged  to  as- 
sist in  the  manipulation  and  understanding  of  Camp- 
bell’s tellurion.  [With  recommendations.]  Hait- 
ford,  1870.  120.  pp.  17-I-. 

h.  Moon. 

Adams,  J.  C.  On  new  tables  of  the  moon’s 
parallax  to  be  substituted  for  those  of  Burckhardt. 
London,  1853.  80.  f.  (i),  pp.  19. 

Drobisch,  M.  W.  Ad  selenographiam  mathe- 
maticam  symbolae.  Lipsiae,  [1827].  40.  pp.  iv., 

35+- 

Lubbock,  J.  W.  On  the  theory  of  the  moon 
and  on  the  perturbations  of  the  planets.  London, 
etc.,  1833.  80.  pp.  viii.,  88,  15. 

Newcomb,  S.  Researches  on  the  motion  of 
the  moon.  Made  at  the  U.  S.  naval  observatory, 
Washington.  Pt.  i.  {Appended  to  U.  S.  naval 
observatory.  Wash.,  D.  C.  Astronom.  and  me- 
teorol.  observations  made  during  1875  ; 1878,  f,  ii.) 

Contents:  — Reduction  and  discussion  of  observations  of  the 
moon  before  1750. 

Newcomb,  S.,  and  J.  Meier.  A transforma- 
tion of  Hansen’s  lunar  theory  compared  with  the 
theory  of  Delaunay.  [Washington,  1880.]  40. 

(Astron.  papers  prepared  for  the  use  of  the  Ameri- 
can ephemeris  and  nautical  almanac,  i.  2.) 

i.  Nebulce. 

Gautier,  A.  Recent  researches  relating  to  neb- 
ulce.  [New  Haven,  1863.]  8®.  pp.  10. 

From  the  Amer.  journ.  of  science,  vol.  xxxv.,  Jan.  1863. 

Schneider,  J.  P.  Dissertatio  physico-astro- 
nomica  de  galaxia.  Altorfii,  [1713].  4®.  pp.  32. 

j.  Observatories. 

Cambridge,  Eng.  — University — Observatory. 
Astronomical  observations  made  by  G.  B.  Airy,  [in 
1828-35].  Cambridge,  etc.,  1829-36.  8v.  4‘h 

Dudley  observatory,  Albany,  N’.  Y.  Annals. 
Vol.  i.,  ii.  Albany,  1866-71.  2 v.  8®. 

Bastman,  J.  R.  Tables  of  instrumental  con- 
stants and  corrections  for  the  reduction  of  transit 
observations  made  at  the  U.  S.  naval  observatory, 
pp.  57.  {Appended  to  U.  S.  naval  observatory. 
Wash.,  D.  C.  Astronom.  and  metcorol.  observa- 
tions made  during  1872;  1874,  4^’,  i.) 

[Gould,  B.  A.,yr. ] An  account  of  the  obser- 
vatory at  Pulkowa,  as  written  for  the  North  American 
review,  July,  1849.  [Boston,  1849.]  8‘h  pp.  20. 

Harvard  college,  Cambridge,  Alass. — Ast?'o- 
7to??iical  observatory.  Annals.  Vol.  i.  pt.  1,  2; 
ii.  1,2;  iii.;  iv.  i;  v.-vii.  Cambridge,  1856-71. 
9 V.  40. 

Astronomical  engravings  of  the  moon, 

planets,  etc.  ; prepared  at  the  observatory  under  the 
direction  of  J.  Winlock.  Cambridge,  1876.  40. 

pp.  8. 


CORNELL  UNIVERSITY. 


33 


“Comprising  plates  i,  2,  4,  ii,  15,  16,  18-22,  and  24  to  35, 
inclusive,  of  tlie  general  series  of  astronomical  engravings  from 
the  observatory.’ 

I^rvard  college,  Cambridge^  Mass. — Astro- 
notnical  observatory.  Astronomical  engravings  il- 
lustrating solar  phenomena;  prepared  at  the  obser- 
vatory under  the  direction  of  J.  Winlock.  Cam- 
bridge, 1876.  40.  pp.  7. 

Comprising  plates  3®,  5-10,  12-14,  i7>  snd  23,  of  the  general 
series  of  astronomical  engravings  from  the  observatory. 

Hudson  observatory,  Hudson,  O.  Astro- 
nomical observations  made  at  [the]  observatory ; 
with  some  account  of  the  building  and  instruments  ; 
by  E.  Loomis.  [Philadelphia],  1839.  40. 

From  the  Transactions  of  the  American  philosophical  society. 

Same.  Third  series.  [Philadelphia], 

1844.  40. 

From  the  Transactions  of  the  American  philosophical  society. 
Newcomb,  S.  The  Uranian  and  Neptunian 
systems,  investigated  with  the  26-inch  equatorial  of 
the  U.  S.  naval  observatory,  pp.  74.  t^Appended 
to  U.  S.  naval  observatory.  Wash.,  D.  C.  As- 
tronom.  and  meteorol.  observations  made  during 

1873;  1875,4^1-) 

Nourse,  J.  E.  Memoir  of  the  founding  and 
progress  of  the  United  States  naval  observatory, 
pp.  52.  (^Appended  to  XJ.  S.  naval  observatory. 
Wash.,  D.  C.  Astronom.  and  meteorol.  observa- 
tions made  during  1871 ; 1873,  4®,  iv.) 

Same.  Condensed.  (^Appended  to  U.  S. 

naval  observatory.  Wash.,  D.  C.  Astronom. 
and  meteorol.  observ.  made  during  1874;  1877,  40, 
i-  3-9-) 

Oxford,  Eng. — Univ.  — Radcliffe  observatory. 
Astronomical  observations  made  in  1840-61  by  M. 
J.  Johnson.  Oxford,  1842-64.  21  v.  8®. 

With  vol.  xiv.  (1853)  the  title  is  changed  to  “Astronomical 
and  meteorological  observations”:  vol.  xix.  (1858)  has  added 
to  the  title  “ Reduced  and  printed  under  the  superintendence 
of  K.  Main”;  with  vol.  xx.  the  name  of  Johnson  no  longer 
appears. 

Trinity  college,  Dublin,  Ireland — Observa- 
tory. Astronomical  observations  and  researches 
made  at  the  observatory  [by  P".  Briinnow].  Dub- 
lin, 1870-73.  2 pt.  40. 

United  States  naval  observatory,  Wash- 
ington, D.  C.  Astronomical  observations  made 
[during  1838-42],  1845-52;  Astronomical  and  me- 
teorological observations  made  during  1861-69, 
’71-77.  Washington,  1846-81.  23  v.  in  24.  4‘>. 

The  observations  for  1838-42,  1851,  ’52,  ’61-64  were  prepared 
by  J.  M.  (Jilliss;  the  vols.  for  1845-50  are  designated  as  “vol. 
i.-v.’’;  these  were  prepared  by  M.  F.  Maury  ; 1865,  '66,  ’74- 
6 by  C.  H.  Davis;  1867-69,  '71-73  by  11.  F.  Sands;  1877  by 
. Rodgers. 

[Yarnall,  M.,  and  others.']  Results  of  observa- 
tions made  at  the  U.  S.  naval  observatory  with  the 
transit  instrument  and  mural  circle  in  the  years  1853 
to  i860,  inclusive.  [By  M.  Yarnall,  J.  Major,  T. 
J.  Robinson.]  pp.  144.  {Appended  to  U.  S.  na- 
val observatory.  Wash.,  D.  C.  Astronom.  and 
meteorol.  observations  made  during  1871 ; 1873, 
40,  ii.) 

Same,  separated.  Washington,  1872.  40. 

pp.  144. 

k.  Orbits  {Computation  of]. 

Gauss,  C.  F.  Theoria  motvs  corporvm  coeles- 
tivm  in  sectionibvs  conicis  solem  ambientivm. 
Ilandjvrgi,  1809.  40.  pp.  xi.,  227-f,  20. 

Knorre,  V.  (C.).  Additamenta  in  usum  com- 
modiorem  et  tutiorem  methodorum,  quae  ad  orbitas 
planetarum  paucis  observationibus  determinandas 
inserviunt. — Diss.  inaug.  Berolini,  [1867].  40, 

pp.  29-h. 


1.  Parallaxes 

(includmg  Transits  of  Mercury  and  Venus). 

Eastman,  J.  R.  The  solar  parallax  from  me- 
ridian observations  of  Mars  in  1877.  pp.  43.  {Ap- 
pended to  U.  S.  naval  ob.servatory,  Wash., 
D.  C.  Astronom.  and  meteorol.  observations  made 
during  1877;  1881,  40,  iii.) 

Feldt,  L.  Commentatio  de  parallaxi  corporum 
coelestium,  puta  de  parallaxi  longitudinis  et  latitu- 
dinis,  ascensionis  rectae  et  declinationis,  nec  non 
altitudinis.  Brunsbergae,  [1859].  40.  pp.  10. 

Fockens,  G.  R.  Responsio  ad  quaestionem  : 
“ Exponantur  observandi  et  computandi  raliones, 
quibus  astronomi  stellarum  fixarum  parallaxin  an- 
nuam  definire  conati  sunt.”  [Lugduni  Batavorum, 
1834.]  40.  pp.  263. 

Gerling,  C.  L.  De  parallaxi  elationis  disserta- 
tio  astronomica.  Marburgi,  [1830].  40.  f.  (i), 

PP-  42.  . 

Two  editions  in  the  same  year,  slightly  differing. 

[Hall,  A.,  and  others.]  Reports  on  telescopic 
observations  of  the  transit  of  Mercury,  May  5,  6, 
1878  [by  A.  Hall,  W.  Harkness,  J.  R.  Eastman, 
H.  Draper,  E.  S.  Holden,  and  H.  M.  Paul], 
f.  (i),  pp.  126.  {Appended  to 'U . S.  naval  obser- 
vatory, Wash.,  D.  C.  Astronom.  and  meteorol. 
observations  made  during  1876;  1880,  40,  ii.) 

m.  Perturbations. 

Challis,  J.  On  the  problem  of  three  bodies. 
[London,  1856.]  40.  pp.  523-545. 

From  the  Philosophical  transactions. — Lettered  “ Papers  on 
astronomy.” 

Cheyne,  C.  H.  H.  An  elementary  treatise  on 
the  planetary  theory,  with  a collection  of  problems. 
Cambridge,  etc.,  1862.  16®.  pp.  xii.,  148. 

Hansen,  P.  A.  Untersuchung  iiber  die  gegen- 
seitigen  Storungen  des  Jupiters  und  Saturns  ; eine 
gekronte  Preisschrift.  Berlin,  1831.  4A  pp.  xvi., 

326+. 

Houel,  J.  Sur  le  d^veloppement  de  la  fonction 
perturbatrice  suivant  la  forme  adoptee  par  Hansen 
dans  la  th^orie  des  petites  plan^tes.  Paris,  1875. 
80.  pp.  84. 

Scheibner,  W.  Ueber  die  Berechnung  einer 
Gattung  von  Eunctionen,  welche  bei  der  Entwicke- 
lung  der  Storungsfunction  erscheinen.  Gotha, 
[1853].  40.  f.  (I),  pp.  30-h. 

n.  Planets  and  Satellites. 

Alberi,  E.  De  Galilei  Galileii  circa  Jovis  satel- 
lites lucubrationibus  quae  in  1.  et  R.  Pittiana  Pala- 
tina  bibliotheca  adservantur.  [Elorentiae,  1843.] 
8".  pp.  13. 

Euler,  L.  Theoria  motuum  planetarum  et  coin- 
etarum,  continens  methodum  facilem  ex  aliquot  ob- 
servationibus orbitas  cum  planetarum  turn  cometa- 
rum determinandi.  Berolini,  [1744].  4®.  pp.  187. 

Hall,  A.  Observations  and  orbits  of  the  satel- 
lites of  Mars;  with  data  for  ephemcrides  in  1879. 
Washington,  1878.  4®.  pp.  46. 

Him,  G.  A.  M^moire  sur  les  conditions  d’^qui- 
libre  et  sur  la  nature  probable  des  anneaux  de  Sa- 
turne.  [Paris,  1872.]  4®.  f.  (i),  pp.  47. 

Loomis,  E.  On  Kirkwood’s  law  of  the  rotation 
of  the  primary  planets.  [New  Haven,  1851.]  8®. 

PP-  7- 

“ P'rom  the  Amcr.  journ.  of  science  and  arts,  2d  senes,  voL 
xi.,  March,  1851.” 


34 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


Peirce,  B.  On  the  new  planet  Neptune.  [Cam- 
bridge, 1847.]  80.  pp.  12. 

“From  the  Proceedings  of  the  Amer.  acad.  of  arts  and  sci- 
ences, March  16,  1847.” 

Feuerbach,  c>rPurbach,  G.  von.  Theorica- 
rum  nouarum  Textus  Georgij  Purbachij  cu  vtili  ac 
preclarissima  expositione  Domini  Francisci  Capuani 
de  Manfredonia.  Ite  in  eosde  Reuerendi  patris 
fratris  SyluestrLde  Prierio  perfamiliaris  commentatio. 
Insuper  Jacobi  P'abri  Stapulesi  astronomicon.  Om- 
nia nuper  summa  diligentia  emendata  cu  figuris  ac 
comodatissimis  longe  castigatius  insculptis  cj  prius 
suis  in  locis  adiectis.  [Parishs,  1515.]  f®.  ff.  xci., 

f.  (I). 

Planet  Neptune  (The).  [New  York,  1847.] 
80.  pp.  145-155-  . 

From  the  American  whig  review,  vol.  vi.,  Aug.  1847. 

Proctor,  R.  A.  Saturn  and  its  system.  Lon- 
don, 1865.  80.  pp.  xvi.-j-,  252. 

Schroeter,  J.  H.  Beobachtungen  iiber  die  sehr 
betraechtlichen  Gebirge  und  Rotation  der  Venus. 
Erfurt,  1793.  4®.  ff.  (2),  pp.  48. 

Walker,  S.  C.,  and'B.  Peirce.  The  orbit  of 
Neptune,  computed  by  S.  C.  Walker,  and  Formulae 
in  the  theory  of  Neptune,  by  B.  Peirce.  [Cam- 
bridge, 1847.]  80.  pp.  13. 

“ From  the  Proceedings  of  the  American  academy,  read 
Dec.  1847.” 

o.  Plurality  of  Worlds. 

Proctor,  R.  A.  Other  worlds  than  ours ; the 
plurality  of  worlds  studied  under  the  light  of  recent 
scientific  researches.  2d  ed.  London,  1870.  8®. 

pp.  xxvi.,  f.  (i),  pp.  339.  Plates. 

[ Whewell,  W.  ] The  plurality  of  worlds ; with 
an  introduction  by  E.  Hitchcock.  New  ed.,  [with] 
a supplementary  dialogue,  in  which  the  author’s  re- 
viewers are  reviewed.  Boston,  etc..,  1861.  pp.  368. 
Plate. 

p.  Refraction. 

Atkinson,  H.  On  astronomical  and  other  re- 
fractions ; with  a connected  inquiry  into  the  law  of 
temperature  in  different  latitudes  and  at  different 
altitudes.  [London,  1825  ?]  40.  pp.  137-260. 

From  the  Philosophical  transactions  of  the  Astronomical  so- 
ciety of  London,  vol.  ii. 

Lettered  “Papers  on  astronomy.” 

Brunn,  (H.)  J.  (H.)  De  computando  refrac- 
tionis  effectu  in  minorum  angulorum  determinationi- 
bus  micrometricis. — Diss.  inaug.  Berolini,  [1865]. 
40.  pp.  17+. 

Young,  T.  A finite  and  exact  expression  for  the 
refraction  of  an  atmosphere  nearly  resembling  that 
of  the  earth.  [London,  1824.]  40.  pp.  159-161. 

From  the  Philosophical  transactions  of  the  Astronomical  so- 
ciety of  London. 

Lettered  “ Shipbuilding.” 

q.  Solar  System. 

Dick,  T.  The  solar  system.  London,  n.  d.  2 
pt.  in  I V.  l6«.  Plate. 

Hind,  J.  R.  The  solar  system ; a descriptive 
treatise  ujion  tlie  sun,  moon  and  planets.  New 
York,  1852.  120.  pp.  198.  Plate. 

Marcoz,  J.  B.  P.  Astronomie  solaire  d’llip- 
parque,  soumise  a une  critique  rigoureuse,  et  en- 
suite  rendue  a sa  vdrite  primordiale.  Baris,  1828. 
8f>.  pp.  Ixii.,  352. 

Wachter,  F.  L.  De  dementis,  qvae  ad  cor- 
porvm  codestivm  revolvtionem  cirevm  proprivm 
axem  spectant,  ex  observationibvs  geocentricis  deri- 
vandis  commentatio.  Gottinga^,  1815.  sm.  40. 
PP-  39- 


W atson,  J . C.  Theoretical  astronomy ; relating 
to  the  motions  of  the  heavenly  bodies  revolving 
around  the  sun  in  accordance  with  the  law  of  uni- 
versal gravitation.  Philadelphia,  etc.,  1868.  1.  80. 

pp.  662. 

r.  Spherical  and  Practical  Astronomy. 

Bergh,  J.  W.  van  den.  Responsio  ad  quaes- 
tionem  : “Ad  diem  i Novembris  1825  computentur 
anguli  horarii,  altitudines,  azimutha  stellae  /if  et  a 
Polaris,  dum  sint  in  eodem  verticali,  uti  et  cum  per- 
venerint  ad  aequales  altitudines.”  [Lugduni  Bata- 
vorum,  1820.]  40.  pp.  22.  Plate. 

Bremiker,  H.  De  temporis  e stellarum  obser- 
vationibus  definiendi  ratione  apud  veteres  usitatissi- 
ma.  Berlin,  1856.  40.  pp.  25. 

Briinnow,  F.  (F.  E.).  Spherical  astronomy; 
translated  by  R.  Main.  Pt.  i.  Cambridge,  etc., 
i860.  80.  pp.  xii.,  2,  202.  Plate. 

Cojpents  : — Parallax,  refraction,  aberration,  precession,  and 
nutation. 

Chauvenet,  W'.  A manual  of  spherical  and 
practical  astronomy,  embracing  the  general  problems 
of  spherical  astronomy,  the  special  applications  to 
nautical  astronomy,  and  the  theory  and  use  of  fixed 
and  portable  astronomical  instruments ; with  an  ap- 
pendix on  the  method  of  least  squares.  4th  ed. 
London  [Philadelphia],  1868.  2 v.  80.  Plates. 

Contents  : — i.  Spherical  astronomy.  — ii.  Theory  and  use  of 
instruments. — Method  of  least  squares. 

Herling, . Wichtigste  Lehren  der  sphar- 

ischen  Astronomie  nach  einer  neuen  Darstellungs- 
weise.  [Frankfurt  am  Main,  1832.]  40.  f.  (i), 

pp.  28.  Plate. 

Loomis,  E.  An  introduction  to  practical  astron- 
omy, with  a collection  of  astronomical  tables.  7th 
ed.  New  York,  1870.  80.  pp.  499. 

Sacro  Bosco,  or  Busto  {Eng.  Holy  wood, 
Halifax  or  Holybush),  J.  de.  Sphaerade  Sacro- 
bosco  emendata ; E.  Vineti  Santonis  scholia  in  ean- 
dem  sphseram,  ab  ipso  autore  restituta,  et  annota- 
tionibus  I.  Martini  Pedemontani  aucta;  P.  Nonij 
Salaciensis  annotatio  in  caput  de  climatibus,  eodem 
Vineto  interprete  ; Compendium  in  sphaeram  per  P. 
Valerianum  Belunensem  [jzV].  Parisiis,  1608. 
sm.  80.  pp.  37,  190. 

s.  Stars. 

[American  ephemeris  and  nautical  almanac.] 
Almanac  catalogue  of  zodiacal  stars,  printed  for  the 
use  of  the  American  ephemeris  and  nautical  almanac. 
Washington,  1864.  1.  80.  pp.  x.,  37. 

Bond,  G.  P.  On  the  companion  of  Sirius. — On 
the  discovery  of  the  asteroid  (72). — On  the  discovery 
of  comet  III.  1861. — On  the  physical  aspect  of 
Encke’s  comet.  [New  Haven,  1862.]  8®.  pp.  4. 

From  the  Amer.  joum.  of  science  and  arts,  vol.  xxxiii.,  March, 
1862. 

Hall,  A.  Catalogue  of  15 1 stars  in  Prresepe. 
pp.  38.  (Appended  to  U.  S.  naval  observatory. 
Wash.,  D.  C.  Astronom.  and  meteorol.  observa- 
tions made  during  1867;  Washington,  1870,  40,  iv. 

Observations  of  double  stars  made  at  the 

United  States  naval  observatory,  pp.  144.  (Ap- 
pended to  U.  S.  naval  observatory.  Wash.,  D. 
C.  Astronom.  and  meteorol.  observations  made 
during  1877;  Washington,  1881,  40,  v.) 

Holden,  E.  S.  The  multiple  star  'E  748.  pp. 
22.  (Appended  to  XJ.  S.  naval  observatory, 
Wash.,  I).  C.  Astronom.  and  meteorol.  observa- 
tions made  during  1877;  Washington,  1881,  4®,  ii.) 

Kokides,  D.  K.  De  variationibus  declination- 


CORNELL  UNIVERSITY. 


35 


um  stellarum  5 Ursae  Majoris  et  Draconis.  liero- 
liiii,  [1862].  4«.  ff.  (2),  pp.  20+. 

Loomis,  F.  E.  Periodic  stars. — Tnaug.  diss. 
Gottingen,  1869.  4*’.  pp.  28. 

Newcomb,  S.  Catalogue  of  1098  standard  clock 
and  zodiacal  stars.  [Washington,  1878.]  40.  pp. 

147-314- 

From  the  Astronomical  and  meteorological  observations  made 
[during  1878?]  at  the  U.  S.  naval  observatory. 

Positions  of  fundamental  stars  deduced  from 

observations  made  at  the  U.  S.  naval  observatory 
between  1862  and  1867.  pp.  46.  (^Appc7ided  to  U. 
S.  naval  observatory.  Wash.,  D.  C.'  Astronom. 
and  meteorol.  observations  made  during  1867; 
Washington,  1870,  40,  iii.) 

Nichol,  J.  P.  Views  of  the  architecture  of  the 
heavens  ; in  a series  of  letters  to  a lady.  New  York, 
1840.  1 20.  pp.  158.  Maps  diYid  plates. 

Pickering,  E.  C.  Dimensions  of  the  fixed  stars, 
with  especial  reference  to  binaries  and  variables  of 
the  Algol  type.  Cambridge,  [Mass.],  1880.  80. 

f.  (I),  pp.  37. 

Reprinted  from  the  Proceedings  of  the  American  academy  of 
arts  and  sciences,  vol.  xvi. 

Proctor,  R.  A.  Half-hours  with  the  stars : a 
plain  and  easy  guide  to  the  knowledge  of  the  con- 
stellations. London,  1878.  40.  pp.  viii.,  22.  12 

maps. 

A new  star  atlas  ; intended  as  a companion 

to  ‘Webb’s  celestial  objects  for  common  tele- 
scopes.’ 2d  ed.  London,  1872.  8®.  pp.  xii.,  27. 

14  rnaps. 

Oxford  university  — Radcliffe  observatory. 
The  Radcliffe  catalogue  of  6,317  stars,  chiefly  cir- 
cumpolar, reduced  to  the  epoch  1845.0;  formed 
from  the  observations  made  at  the  Radclifie  observa- 
tory, under  the  superintendence  of  M.  J.  Johnson; 
with  introduction  by  R.  Main.  Oxford,  i8(jO.  1.  80. 
ff-  (3)»  PP-  xiii.,  363. 

Safford,  T.  H.  The  observed  motions  of  the 
companion  of  Sirius  considered  with  reference  to  the 
disturbing  body  indicated  by  theory.  Cambridge, 
[Mass.],  1863.  8®.  pp.  6. 

From  the  Proceedings  of  the  Amer.  acad.  of  arts  and  sci- 
ences, vol.  vi. 

On  the  proper  motion  of  Sirius  in  declin- 
ation. (Astronomical  notices,  no.  28;  Dec.  20, 
1861,  pp.  25-32.) 

On  the  right  ascension  of  the  pole  star,  as 

determined  from  observation.  Cambridge,  [Mass.], 
1864.  8».  pp.  13. 

From  the  Proceedings  of  the  American  academy  of  arts  and 
sciences,  vol.  vi. 

Scliur,  W.  Untersuchungen  filter  die  Balm 
des  Doppelsterns  70 / Ophiuchi. — Inaug.  diss.  Al- 
tona,  1867.  4".  f,  (i),  pp.  18. 

Verzeichniss  der  von  Bradley,  Piazzi,  Lalande 
und  Bessel  beobachteten  Sterne,  berechnet  und  auf 
1800  reducirt  von  R.  Luther  [C.  F.  R.  Olufsen,  J. 
J.  Morstadt,  d’Arrest,  K.  Knorre,  !•'.  Argelander, 
C.  Bremiker,  S.  Fellocker,  Wolfers,  Oobel,  Bogus- 
lawski,  Steinheil,  T.  J.  Hussey,  Harding,  liighirami 
und  C'apocci,  Henke.].  Auf  Veranlassung  der 
konigl.  Akademie  der  Wissenschaften  in  Berlin. 
Akademische  Sternkarten.  Zone  o-xxiii  Uhr.  Ber- 
lin, 1830-58.  24  pt.  in  I V.  fo. 

Winnecke,  A.  De  Stella  duplici  7/  coronae 
borealis. — Diss.  inaug.  Berolini,  [1856].  8«.  ff. 

(2),  pp.  344-.  • 

Yarnall,  M.  Catalogue  of  stars  observed  at  the 
United  States  naval  observatory  during  1845  to  1871. 
pp.  xxi.,  273.  {^Appended  to  U.  S.  naval  observa- 
tory, Wash.,  D.  C.  Astronom.  and  meteorol.  ob- 


servations made  during  1871 ; Washington,  1873, 
40,  iii.) 

t.  Sun. 

Ericsson,  J.  Solar  investigations.  New  York, 
1876.  40.  pp.  32. 

Meibauer,  R.  O.  Ueber  die  physische  Beschaf- 
fenheit  der  Sonne.  Berlin,  1866.  40.  pp.  26. 

Proctor,  R.  A.  The  sun  : ruler,  fire,  light,  and 
life  of  the  planetary  system.  2d  ed.  London,  1872. 
sm.  80.  pp.  xxviii.,  503.  Plates. 

Sestini,  B.  Observations  on  solar  spots,  made 
at  the  observatory  of  Georgetown  college,  Sep.  20  to 
Nov.  6,  1850.  pp.  10.  {Appended  to  U.  S.  naval 
observatory.  Wash.,  D.  C.  Astronom.  observa- 
tions made  during  1847;  Washington,  1853,  40,  iii. 
Appendix  A,  pp.  i-io.) 

Spbrer,  G.  F.  W.  Beobachtungen  von  Sonnen- 
flecken.  Anclam,  1862-68.  3 pt.  40.  Plate. 

Trowbridge,  D.  On  the  atmospheres  of  the 
sun  and  planets.  Read  before  the  American  philo- 
sophical society,  Nov.  3, 1876.  [Philadelphia,  1876.] 
80.  pp.  7. 

u.  Tides. 

Graham,  J.  D.  A lunar  tidal  wave  in  the  North 
American  lakes.  Cambridge,  [Mass.],  1861.  8®. 

pp.  II.  Plate. 

“ From  vol.  xiv.  of  the  Proceedings  of  the  Amer.  assoc,  for 
the  advancement  of  science.” 

Knorr,  E.  Disquisitiones  quaedam  de  aestu 
maris.  Berolini,  [1830].  40.  f.  (i),  pp.  23-}-. 

Book-keeping. 

Dilworth,  T.  The  young  book-keeper’s  assist- 
ant, shewing  him,  in  the  most  plain  and  easy  man- 
ner, the  Italian  way  of  stating  debtor  and  creditor. 
New  ed.  l.ondon,  1801.  8*^.  [ff.  82],  pp.  var. 

Green,  S.  The  practical  accountant ; or.  Farm- 
ers’ and  mechanics’  best  method  of  book-keeping; 
a companion  to  Daboll’s  Arithmetic.  [Utica,  1832.] 
120.  ff.  (6). 

Same.  [Utica,  1834.]  I2‘’.  ff.  (6). 

Same.  [Utica,  1837.]  12®.  ff.  (6). 

Same.  [Utica,  1839.]  I2«\  ff.  (6). 

Satne.  Ithaca,  [1841].  12^.  ff.  (6). 

ltd.  with  the  corresponding  editions  of  llahoH’s  Arithmetic. 

Hollander,  D.  d’.  (.)ogen-salve,  voor  den  in 
konst  - sticksienden  Italiaenschen  boeck  - houdens 
Spiegel  - maker  B.  H.  Geestevelt,  hem  bercyt,  en 
toe-gepast,  op  sijn  (piaet  toesicht,  omtrent  sijn 
fonctie  van’t  koopmans  boeck-houden.  Amster- 
dam, 1669.  4«.  jip.  123-f. 

Lettered  “Geestevelt.  Spetiosa  algebra.” 

Jones,  T.  Paradoxes  of  debit  and  credit  demol- 
ished; double  entry  results  obtained  from  single 
entry;  ctjualion  of  payments  in  a nutshell.  New 
York,  1859.  8^.  i)p.  iv.,  f.  (i),  pp.  74. 

Mayhew,  I.  Practical  book-keeping.  Boston, 
[1880].  120.  pp.  228. 

University  book-keeping;  a treatise  on 

business  and  accounts.  Boston,  1868.  8«‘.  pp.  318. 

Calculus,  or  Fluxions. 

{See  also  Functions,  Geometry,  Analytic, 
Maxima  and  Minima,  Rational  jpractions, 
and  Series.) 

Bezout,  E.  First  principles  of  the  differential 
and  integral  calculus,  or  the  doctrine  of  fluxions; 


36 


WORIirS  RE  LA  TING  TO  MA  THEM  A TICS. 


taken  chiefly  from  the  mathematics  of  Bezout,  and 
translated  [by  J.  Farrar].  Cambridge,  [Mass.], 
1824.  80.  f.  (i),  pp.  viii.,  195.  Plates. 

Boucharlat,  J.  L.  Elements  de  calcul  differen- 
tiel  et  de  calcul  integral;  7®  ed.  Paris,  1858.  8®. 

pp.  xvi.,  541.  Plates. 

Carmichael,  R.  A treatise  on  the  calculus  of 
operations  ; designed  to  facilitate  the  processes  of 
the  differential  and  integral  calculus  and  the  calculus 
of  finite  differences.  London,  1855.  8®.  pp.  xii., 

1704-- 

Cauchy,  A.  L.  Resume  des  legons  donnees  a 
I’Ecole  royale  polytechnique  sur  le  calcul  infinitesi- 
mal. Tome  i.  Paris,  1823.  40.  pp.  xii.,  172. 

Church,  A.  E.  Elements  of  the  differential  and 
integral  calculus ; improved  edition,  containing  the 
elements  of  the  calculus  of  variations.  New  York, 
i860.  8®.  pp.  viii.,  344. 

Sa??ie.  Revised  ed.  New  York,  1868.  8®. 

pp.  xi.,  369. 

Same.  New  York,  1870.  80.  pp.  xi.,  369. 

Courtenay,  E.  H.  A treatise  on  the  differen- 
tial and  integral  calculus,  and  on  the  calculus  of 
variations.  New  York,  1868.  8®.  pp.  xviii., 

13-501* 

Crousaz  or  Crouzas,  J.  P.  de.  Commentaire 
sur  Panalyse  des  infiniment  petits.  Paris,  1721.  40. 

ff'.  (18),  pp.  320.  Plates. 

lid.  with  Varignon’s  “ Eclaircissemens  sur  I’analyse  des  Infi- 
niment petits.” 

An  elementary  treatise  on  the  differential 

and  integral  calculus ; translated  by  R.  Blakelock. 
Cambridge,  1828.  8®.  pp.  lx.,  398.  Plates. 

Davies,  C.  Elements  of  the  differential  and  in- 
tegral calculus.  Improved  ed.  New  York,  1868. 
80.  pp.  283. 

Dealtry,  W.  The  principles  of  fluxions.  Cam- 
bridge, 1810.  80.  ff.  (2),  pp.  iv.,  376-I-. 

De  Morgan,  A.  Tbe  differential  and  integral 
calculus  ; also,  Pilementary  illustrations  of,  [the 
same].  London,  1842.  80.  pp.  xx.,  3-785,  64. 

( In  Society  for  the  diffusion  of  useful  knowl- 
edge. Library  of  useful  knowledge.) 

Duhamel,  J.  M.  C.  Elements  de  calcul  infini- 
tesimal. 2«  ed.  Paris,  1860-61.  2 v.  80. 

Contents:  — i.  Qiiantites  considerees  comme  limites. — Cal- 
cul des  derivecs  et  des  differentielles  des  fonctions.  — ii.  Limites 
de  sommes. — Calcul  inverse  du  calcul  diflerentiel.  — Integra- 
tion des  equations  diffurentiellcs. 

Emerson,  W.  The  doctrine  of  fluxions ; not 
only  explaining  the  elements  thereof,  but  also  its  ap- 
plication and  use  in  the  several  parts  of  mathematics 
and  natural  philosophy.  2d  ed.,  revised  and  en- 
larged. London,  1757.  8".  pp.  xvi.,  ff.  (2),  pp. 

432 -f-.  Plates. 

Euler,  L.  Introduction  a Panalyse  infinitesi- 
male ; traduite  du  latin  en  fran9ais,  avec  des  notes 
& des  dclaircissemcnts,  par  J.  B.  Labey.  Paris, 
1796-97.  2v.ini.  40. 

Gamier,  J.  G.  Notes  sur  le  calcul  diff^renticl 
et  sur  le  calcul  integral ; faisant  suite  a la  Mecha- 
nif|ue  de  Bezout.  jite.  de  la  Mdchanique.  Paris, 
An  IX.  [1801].  8'>.  ff.  (2)'  pp.  367-501 ff.  (2), 

pj).  403-662,  ff.  (3).  Plates. 

'I  hc  p.-iginatioii  docs  not  correspond  with  that  of  the  edition 
(ist)  of  Ilczout’s  “ Cours  de  mathematique  ” catalogued  else- 
where. 

Hales,  W.  Analysis  fluxionum.  Londini, 
1800.  4^’.  ])p.  X.,  1 10. 

Lettered  “ Mathematical  tracts.” 

Hall,  T.  G.  An  elementary  treatise  on  the  dif- 
ferential and  integral  calculus.  Cambridge,  etc., 
!834.  80.  pp.  xi.,  372. 


Hemming,  G.  W.  An  elementary  treatise  on 
the  differential  and  integral  calculus,  for  the  use  of 
colleges  and  schools.  2d  ed.,  with  corrections  and 
additions.  Cambridge,  1852.  80.  pp.  xi.,  194. 

Lacroix,  S.  P.  An  elementary  treatise  on  the 
differential  and  integral  calculus  ; translated  [by  C. 
Babbage,  G.  Peacock  and  J.  P".  W.  Plerschel],  with 
appendix  and  notes.  Cambridge,  1816.  80.  pp. 

viii.,  720.  Plates. 

See  Herschel,  Sir  J.  F.  W.  A collection  of  examples  of 
the  applications  of  the  calculus  of  finite  differences. 

Traite  elementaire  de  calcul  differentiel  et 

de  calcul  integral.  7«  ed.,  revue  et  augmentee  de 
notes  par  [C.]  llermite  et  J.  A.  Serret.  Paris,  1867. 
2 V.  8®. 

Contents: — i.  Calcul  differentiel. — Calcul  Integral. — il.  Ap- 
pendice.  — Notes. 

Landen,  J.  A discourse  concerning  the  residual 
analysis,  a new  branch  of  the  algebraic  art.  Lon- 
don, 1758.  40.  pp.  43-f. 

The  residual  analysis,  a new  branch  of  the 

algebraic  art.  Book  I.  London,  1764.  40.  pp. 

viii.,  128.  Plates. 

Lardner,  D.  An  elementary  treatise  on  the  dif- 
ferential and  integral  calculus.  London,  1825.  8®. 

pp.  xxxiii.,  ff.  (2),  pp.  520. 

Another  copy,  lettered  “ Lardner’s  Geometry.” 

L’Huillier,  S.  (A.  J.)  Principiorum  calculi  dif- 
ferentialis  et  integralis  expositio  elementaris.  Tu- 
bings, 1795.  40.  ff.  (3),  pp.  xxviii.,  339-j-.  Plates. 

Interleaved  with  blank  ff.  Two  copies. 

Maclaurin,  C.  A treatise  on  fluxions.  Edin- 
burgh, 1742.  2 V.  40. 

Paged  continuously. 

A treatise  on  fluxions.  2d  ed. ; to  which  is 

prefixed  an  account  of  his  life,  carefully  corrected 
and  revised  by  an  eminent  mathematician.  London, 
1801.  2 V.  80.  Port,  and  plates. 

Mayer,  J.  T.  Vollstandiger  Lehrbegriff  der 
hohern  Analysis.  Gottingen,  1818.  2 v.  8°. 

Contents: — i.  Differenzialrechnung. — ii.  Integralrechnung. 

Moigno,  (F.  H.  M.)  Tahbe.  Le9ons  de  calcul 
differentiel  et  de  calcul  integral,  redigees  d’apres  les 
methodes  et  les  ouvrages  publics  ou  inedits  de  A. 
L.  Gauchy.  Paris,  1840-44.  2 v.  8®.  Plates. 

Contents:  — i.  Calcul  differentiel. — ii.  Calcul  integral. 

Lettered  “Calcul  differentiel.” 

Natani,  L.  Die  hohere  Analysis,  in  vier  Ab- 
handlungen  ; mit  Beriicksichtigung  der  Theorie  der 
complexen  Grossen  und  anderer  neuen  Untersuchun- 
gen  ; Supplement  zu  den  Lehrbiichern  der  Difieren- 
zial-  und  Integralrechnung.  Berlin,  1866.  8®.  pp. 

viii.,  567. 

Navier,  (C.  L.  M.  H.)  Resumd  des  le9ons 
d’analyse  donnees  a Pecole  polytechnique ; suivi  de 
notes  par  J.  Liouville.  2®  ed.,  revue  par  E.  Liou- 
ville.  Paris,  1856.  2 v.  8®. 

Newton.  I.  Analysis  per  quantitatum  series, 
fluxiones  ac  differentias,  cum  enumeratione  linearum 
tertii  ordinis.  Londini,  1 71 1.  4®.  ff.  (7),  pp.  lOi. 

Plates  and  engrs. 

The  method  of  fluxions  qnd  infinite  series, 

with  its  apj:)]ication  to  the  geometry  of  curve-lines ; 
translated  from  the  author’s  Latin  original,  not  yet 
made  publick;  to  which  is  subjoined  a perpetual 
comment  upon  the  whole  work,  by  J.  Colson.  Lon- 
don, 1736.  4‘>.  pp.  xxiii.-j-,  339.  Eront. 

Pd.  with  his  “ Excerpta  qumdam.” 

Peirce,  B.  An  elementary  treatise  on  curves, 
functions  and  forces.  Boston,  etc.  2 v.  I2<>. 

Contents  : — i.  Analytic  geometry.  — Differential  calculus.  — 
ii.  Calculus  of  imaginary  quantities.  — Residual  calculus.  — In- 
tegral calculus. 

Price,  B.  A treatise  on  infinitesimal  calculus  ; 


CORNELL  UNIVERSITY. 


37 


containing  differential  and  integral  calculus,  calculus 
of  variations,  applications  to  algebra  and  geometry, 
and  analytical  mechanics.  Oxford,  1862-68,  ’62. 
4 V.  8”.  Plates. 

Contents:  — i.  Diflerential  calculus. — ii.  Integral  calculus. 

— Calculus  of  variations.  — Differential  equations.  — iii.  Statics. 

— Dynamics  of  material  particles.  — iv.  Dynamics  of  material 
systems. 

Vol.  i.-iii.  are  2d  ed. ; vol.  iv.,  ist  ed. 

Quinby,  I.  F,  A new  treatise  on  the  elements 
of  tlie  differential  and  integral  calculus.  New  York, 
1868.  80.  pp.  472. 

This  is  really  I.  Todhunter’s  Calculus  rearranged. 

Ritchie,  W.  Principles  of  the  differential  and 
integral  calculus,  familiarly  illustrated,  and  applied 
to  a variety  of  useful  purposes;  2d  ed.,  revised  by 
J.  A.  Spencer.  London,  1847.  12®.  pp.  x.,  f.  (i), 

pp.  193. 

Schlomilch,  O.  Compendium  der  hoheren  An- 
alysis. Braunschweig,  1868,  ’65.  2 v.  8®. 

Contents  : — i.  Differentialrechnung.  — Integralrechnung.  — 
ii.  Die  hoheren  Differentialquotienten.  — Functionen  complexer 
Variabelen.  — Periodischen  Reihen.  — Fourier’schen  Integrate. 

— Bernoulli’schen  Functionen.  — Gammafunctionen.  — Ellip- 
tischen  Integrale.  — Elliptischen  Functionen. — Vielfachen  In- 
tegrale — Integration  der  linearen  Differentialgleichungen  zwei- 
ter  Ordnung. 

Vol.  i.  is  “36  Aufl.”;  vol.  ii.,  “ae  Aufl.” 

Serret,  J.  A.  Cours  de  calcul  differentiel  et  in- 
tegral. Paris,  1868.  2 V.  80, 

Contents:  — i.  Calcul  differentiel. — ii.  Calcul  integral. 

Simpson,  T.  The  doctrine  and  application  of 
fluxions,  containing  (besidt^  what  is  common  on  the 
subject)  a number  of  new  improvements  in  the  the- 
ory, and  the  solution  of  a variety  of  new  and  very 
interesting  problems,  in  different  branches  of  the 
mathematics.  New  ed.,  revised  by  a graduate  of  the 
university  of  Cambridge.  2 v.  London,  1823.  8®. 

Strong,  T.  A treatise  on  the  differential  and  in- 
tegral calculus.  New  York,  1869.  8«.  pp.  viii.,  61 7. 

Sturm,  (J.)  C.  (F. ) Cours  d’analyse  de  PEcole 
polytechnique.  3®  6d.,  revue  et  corrigee  par  M.  E. 
Prouhet.  Paris,  1868.  2 v.  8«. 

Contents:  — i.  Calcul  differentiel. — Calcul  integral. — ii. 
Suite  du  calcul  integral.  — Calcul  des  variations. 

Taylor,  B.  Methodus  incrementorum  directa  & 
in  versa.  Londini,  1717.  4®.  ff.  (3),  pp.  118,  f.  (1). 

Thomson,  J.  An  introduction  to  the  differential 
and  integral  calculus  ; with  an  appendix,  illustrative 
of  tlie  theory  of  curves  and  other  subjects.  2d  ed. 
London,  1849.  *2®.  pp.  viii.,  7-3 lO.  Plates. 

Varignon,  P.  Eclaircissemens  sur  I’analyse  des 
infmiment  petits.  Paris,  1725.  4®.  ff.  (4),  pp. 

1 18,  f.  (i).  Plates. 

Vince,  S.  The  principles  of  fluxions.  istAmer. 
ed.,  corrected  and  enlarged.  Philadelphia,  1812. 
8®.  ff.  (2),  pp.  256. 

Waring,  E.  Meditationes  analyticte.  2®  ed. 
Cantabrigioe,  1785.  4^.  ff.  (2),  pp.  xlii.,  722,  ff.  (3). 
Plate. 

“Primaeditio  imprimebatur  annis  1773,  4 & 5;  secunda,  cum 
nonnullis  additlonibus  annis  1783,  4 & 5,  et  edita  Jun.  4,  1785.” 

a.  Differential  Calculus. 

Arbogast,  L.'F.  A.  Du  calcul  des  derivations. 
Strasbourg,  An  viii.  (1800).  4®.  f.  (i),  pp.  xxii., 

f.  (I),  pp.  404. 

Bertrand,  J.  (L.  F. ) Traite  de  calcul  differentiel 
et  de  calcul  integral : Calcul  differentiel.  Paris, 
1864.  4«.  ff.  (2),  pp.  vii.,  xliv.,  780. 

Bubendey,  G.  H.  Ueber  die  Ableitung  des 
Taylorschcn  'I'heorems  aus  den  Principien  des  Infin- 
itesimal-Calculus. Hamburg,  1841.  40.  ff.  (2), 

PP-  53+- 

Cauchy,  A.  L.  Vorlesungen  iiber  die  Differen- 


zialrechnung,  mit  Fourier’s  Auflosungsmethode  der 
bestimmten  Gleichungen  vecbunden  ; ubersetzt  von 
C.  H.  Schnuse.  Braunschweig,  1836.  8®.  pp.  xiii., 

(0>  PP-  372.  Plate. 

Same.  Zusatze.  Braunschweig,  1846.  8®. 

pp.  48.. 

Bd.  with  the  preceding. 

Dippe,  M.  C.  Anfangsgriinde  der  Differential 
Rechnung.  Halle,  1839.  4®.  pp.  iv.,  54.  Plate. 

Euler,  L.  Institutiones  calculi  differentialis  cum 
eius  vsu  in  analysi  finitorum  ac  doctrina  serierum. 
Petropoli,  1755.  4®.  pp.  xxiv.,  880.  Vign. 

Gamier,  J.  G.  Le9ons  de  calcul  diflerentiel. 
3®  ed.  Paris,  1811.  8®.  pp.  xxvi.,  474.  Plates. 

Another  copy;  same  ed.,  but  different  title-page. 

Hoppe,  (E.)R.  (E.)  Theorie  der  independen 
ten  Darstellung  der  hohern  Differentialquotienten. 
Leipzig,  1845.  PP-  xii.,  187. 

Lagrange,  J.  L.  Theorie  des  fonctions  analy- 
tiques ; contenant  les  principes  du  calcul  differentiel, 
degages  de  toute  consideration  d’infiniment  petits, 
d’evanouissants,  de  limites  et  de  fluxions,  et  reduits 
a I’analyse  algebrique  des  quantites  finies.  3®  ^d., 
revue  par  J.  A.  Serret.  Paris,  1847.  4®.  pp.  xii., 

399- 

Rauschenbusch,  C.  F.  A.  Ueber  Differenzial- 
Rechnung.  Cassel,  1833.  4®.  pp.  16,  f.  (i). 

Schellbach,  K.  H.  Beitriige  zur  Differenzen- 
rechnung.  Berlin,  1836.  4®.  f.  (i),  pp.  19. 

Spare,  J.  The  differential  calculus,  with  unusual 
and  particular  analysis  of  its  elementary  principles, 
and  copious  illustrations  of  its  practical  application. 
Boston,  1865.  12®.  pp.  xix.,  244. 

Todhunter,  I.  A treatise  on  the  differential  cal- 
culus, with  numerous  examples.  4th  ed.  Cam- 
bridge, etc.,  1864.  8®.  pp.  viii.,  404. 

See  Quinby,  I.  F.,  under  Calculus. 

Whewell,  W.  The  doctrine  of  limits  with  its 
applications ; namely,  conic  sections,  the  first  three 
sections  of  Newton,  the  differential  calculus.  Cam- 
bridge, 1838.  8®.  pp.  xii.,  f.  (i),  pp.  172. 

Williamson,  B.  An  elementary  treatise  on  the 
differential  calculus,  containing  the  theory  of  plane 
curves.  4th  ed.  London,  1880.  8®.  pp.  xvi., 

440. 

Woolhouse,  W.  S.  B.  Pdements  of  the  dif- 
ferential calculus.  6th  ed.  London,  1864.  12®. 

pp.  viii.,  164. 

Young,  J.  R.  Elements  of  the  differential  cal- 
culus ; comprehending  the  general  theory  of  curve 
surfaces  and  of  curves  of  double  curvature.  2d  ed. 
London,  1836.  12®.  pp.  xxii.,  312. 

Same,  [ist  Amer.  ed.],  revised  and  cor- 
rected by  M.  O’Shannessy.  New  York,  1833.  8®. 

pp.  XX.,  255. 

b.  Integral  Calculus. 

Bertrand,  J.  (L.  F. ) Traitd  de  calcul  difli^ren- 
tiel  et  de  calcul  integral : Calcul  integral ; int6- 
grales  d^fmies  et  indefinies.  Paris,  1870.  4®.  pp. 

xii.,  725. 

Bougeiinville,  (L.  A.  de).  Traitd  du  calcul  in- 
tegral, pour  servir  de  suite  h.  I’Analyse  des  infini- 
ment  petits  de  L’H6pital.  Paris,  1754-56.  2 v. 

4®. 

Condorcet,  (M.  J.  A.  N.  de  C.),  marquis  de. 
Du  calcul  integral.  Paris,  1765.  4®.  pp.  viii,,  94, 

f.  (I). 

Euler,  L.  Institution[es]  calculi  integralis.  ltd. 
3».  Petropoli,  1824-27.  3 v.  4®. 

Contents: — Methodus  integrand!  a primis  principiis  usque 


38 


IVOJ^JCS  J^£LA7’/JVG  TO  MATHEMATICS. 


ad  integrationem  aequationum  differentialium  prlmi  gradus. — ii. 
Methodus  inveniendi  functiones  unlus  variabilis  ex  data  rela- 
tione differentialium  secundi  altiorisve  gradus. — iii.  Methodus 
invepiendi  functiones  duarum  et  plurium  variabilium,  ex  data 
relatione  differentialium  cujusvis  gradus;  cum  appendice  de 
Calculo  variationum. 

Garnier,  J.  G.  Le9ons  de  calcul  integral.  3® 
6d.  Paris,  1812.  8®.  pp.  8,  643 -f-.  Plates. 

Herzberg,  R.  De  integralium  multiplicium  re- 
ductione.  Halis,  [1858].  4®.  ff.  (3),  pp.  19. 

Hymers,  J.  A treatise  on  the  integral  calculus, 
containing  the  integration  of  explicit  functions  of  one 
variable,  together  with  the  theory  of  definite  inte- 
grals and  of  elliptic  functions.  3d  ed.  Cambridge, 
1844.  8®.  ff.  (2),  pp.  300.  Plates. 

Joachimsthal,  F.  Ueber  die  Bedingung  der 
Integrabilitat.  Berlin,  1844.  4®.  pp.  21. 

Legendre,  A.  M.  Exercices  de  calcul  integral 
sur  divers  ordres  de  transcendantes  et  sur  les  quadra- 
tures. Paris,  1811-17,  ’16.  3 V.  4®. 

Le  Seur,  T.  et  F.  Jacqnier.  Elemens  du  cal- 
cul integral.  Parme,  1768.  2 v.  4®.  Plates. 

Contents:  — i.  Differentielles  a une  variable.  — ii.  Differen- 
tielles  a plusieurs  variables. 

Moigno,  F.  N.  M.,  compiler.  Vorlesungen  fiber 
die  Integralrechnung ; vorzfiglich  nach  3en  Meth- 
oden  von  A.  L.  Cauchy ; deutsch  herausgegeben 
von  C.  H.  Schnuse.  Braunschweig,  1846.  8®. 

pp.  xxxvi.,  618. 

Todhunter,  I.  A treatise  on  the  integral  calcu- 
lus and  its  applications,  with  numerous  examples. 
3d  ed.,  revised  and  enlarged.  London,  etc.,  1868. 
8®.  pp.  vi.,  f.  (i),  pp.  376. 

Williamson,  B.  An  elementary  treatise  on  the 
integral  calculus,  containing  applications  to  plane 
curves  and  surfaces.  3d  ed.  London,  1880.  8®. 

pp.  xiv.,  375. 

Young,  J.  R.  The  elements  of  the  integral  cal- 
culus, with  its  applications  to  geometry  and  to  the 
summation  of  infinite  series.  London,  1831.  12®. 

pp.  xi.-f,  306. 

c.  Definite  Integrals. 

Anderssen,  A.  Entwickelung  aller  Eigen- 
schaften  der  Logarithmen  und  Kreisfunktionen  aus 

dem  bestimmten  Integral  P Breslau,  1857. 

4®.  f.  ( I ),  pp.  28.  J 

Bellavitis,  G.  Relazione  sulle  tavole  d’integrali 
definiti  compilate  da  I).  Bierens  de  Ilaan.  [Vene- 
zia, 1859].  8®.  pp.  8. 

Estratto  dal  vol.  iv.,  serie  iii.,  degli  Atti  dell’  Istituto  veneto. 

Bierens  de  Haan,  D.  Expose  de  la  th^orie, 
des  propriet^s,  des  formules  de  transformation,  et 
des  methodes  d’^valuation  des  integrates  definies. 
Amsterdam,  1862.  4®.  ffv(2),  pp.  xii.,  702.  Plate. 

Foelsing,  J.  H.  M^moire  sur  la  substitution 
d’une  variable  imaginaire  dans  une  integrate  d^finie. 
licrlin,  [1841].  4®.  f.  (i),  pp.  19. 

Meyer,  A.  Pixpos^  ^l^mentaire  de  la  th^orie 
des  intfigrales  definies.  Bruxelles,  etc.,  1851.  8®. 

ff.  (2),  pp.  iii.+j  iii- 

Meyer,  G.  F.  Vorlesungen  fiber  die  Theorie 
der  bestimmten  Integrate  zwischen  reellen  Grenzen. 
Leipzig,  1871.  8®.  f.  (i),  pp.  xviii.,  628. 

d.  Differential  Equations. 

Airy,  G.  B.  An  elementary  treatise  on  partial 
differential  equations.  London,  etc.,  1866.  8®.  pp. 
viii.,  58.  Plates,  and  4 stereoscopic  views  in  cover. 

Boole,  G.  A treatise  on  differential  equations. 


2d  ed.,  revised.  Cambridge,  etc.,  1865.  8®.  pp. 

XV.,  496. 

Same;  supplementary  volume ; [edited  by 

I.  Todhunter],  Cambridge,  etc.,  1865.  8®.  pp. 

xi.+,  235. 

Brunacci,  V.  Calcolo  integrale  delle  equazioni 
lineari.  Firenze,  1798.  4®.  pp.  xx.,  280,  f.  (i). 

Floquet,  G.  Sur  la  theorie  des  equations  diffe- 
rentielles lineaires.  (These  presentee  a la  Faculte 
des  sciences  de  Paris.)  Paris,  1879.  4®.  f.  (i), 

pp.  132. 

Gehring,  F.  E.  De  aequationibus  differentiali 
bus  quibus  aequilibrium  et  motus  laminae  crystal- 
linae  definiuntur. — Diss.  inaug.  Berolini,  [1859]. 
4®.  pp.  30,  f.  (I). 

Halphen,  [G.]  Sur  les  invariants  differentiels. 
(These  presentee  a la  Faculty  des  sciences  de  Paris.) 
Paris,  1878.  4®.  pp.  60. 

Hymers,  J.  A treatise  on  differential  equations, 
and  on  the  calculus  of  finite  differences.  2d  ed.,  en- 
larged. London,  1858.  8®.  pp.  viii.,  180,  139. 

Plate. 

Lie,  S.  Discussion  aller  Integrations- Methoden 
der  partiellen  Differential-Gleichungen  i.  O.  Pt.  i., 
ii.  [Christiania,  1875.]  8®. 

“ Besonderer  Abdruck  nach  den  Verh.  der  Gesellschaft  d.  W. 
zu  Chr.  a 1875.” 

Pt.  ii.  has  the  title : — “ Allg«meine  Theorie  partielle  Differen- 
tial-Gleichungen I.  O.” 

Mansion,  P.  Theorie  des  Equations  aux  d^- 
rivees  partielles  du  premier  ordre.  Paris,  1875.  8®. 

ff.  (2),  pp.  xvi.,  289. 

Sohncke,  L.  De  aequatione  differentiali  seriei 

d^y 

hypergeometricae  x(i— .r)  . — 

dy 

——a . (5 . y=o. — Diss.  inaug.  Halis,  [1866].  4®. 
f.  (I),  pp.  20,  f.  (i). 

Ueber  den  Zusammenhang  hypergeomet- 

rischer  Reihen  mit  hoheren  Differentialquotienten 
und  vielfachen  Integralen.  Konigsberg  in  Pr., 
1867.  4®.  pp.  30. 

Zorer,  F.  Integration  zweier  simultanen  Gleich- 
ungen  der  zweiten  Ordnung  mit  constanten  Coef- 
ficienten.  Stuttgart,  1844.  4®.  pp.  15. 

e.  Calculus  of  Variations. 

Abbatt,  R.  A treatise  on  the  calculus  of  varia- 
tions. 2d  ed.  London,  1841.  16®.  pp.  xi.,  207. 

Plate. 

Moigno,  F.  N.  M.  Le9ons  de  calcul  diff^rentiel 
et  de  calcul  integral,  r^dig^es  d’apres  les  methodes 
et  les  ouvrages  publics  ou  in^dits  de  A.  L.  Cauchy. 
Tome  iv.,  fasc.  : Calcul  des  variations.  Paris, 
1861.  8®.  pp.  XX.,  352. 

Natani,  L.  Die  Variationsrechnung;  Anhang 
zur  hoheren  Analysis.  Berlin,  1866.  8®.  ff.  (2), 

pp.  53,  f.  (I). 

Simon,  (E.)  O.  (A.)  Die  Theorie  der  Varia- 
tionsrechnung. Berlin,  1857.  4®.  f.  (i),  pp.  35. 

Todhunter,  I.  Researches  in  the  calculus  of 
variations,  principally  on  the  theory  of  discontinuous 
solutions;  an  essay.  Cambridge,  1871.  8®.  pp. 

viii.,  278. 

Wilkinson,  M.  M.  U.  Of  false  discontinuity, 
with  illustrations  from  Pburier’s  theorem  and  the 
calculus  of  variations.  Cambridge,  1871.  8®.  pp. 

vii.,  192.  Plates. 


CORNELL  UNIVERSITY. 


39 


Calendar. 

(See  also  Astronomy.) 

Clavius,  C.  Romani  calendarii  a Gregorio  XI 11. 
P.  M.  restitvti  explicatio ; accessit  confutatio  eorum, 
qui  calendarium  aliter  instaurandum  esse  contende- 
runt.  Romae,  1603.  f®.  ff.  (18),  pp.  680,  f.  (i). 

Marked  as  vol.  v.  of  “ Clavii  Opera.” 

Gumpach,  J.  von.  Practical  tables  for  the  re- 
duction of  Mahometan  dates  to  the  Christian  kalen- 
dar,  computed  for  the  use  of  astronomers,  chronolo- 
gers,  historians,  and  others ; with  an  introduction 
including  some  special  remarks  on  the  Turkish  kal- 
endar.  London,  1856.  40.  pp.  23. 

Crystallography. 

Hempflng,  J.  C.  Tabellen  zum  Auffinden  der 
vcrschiedenen  Classificationsstufen  in  welche  eine 
beliebige  Gestalt  nach  dem  von  dem  Professor  Hes- 
sel  aufgestellten  System  der  sammtlichen  denkbaren 
Gestalten  gehort.  Marburg,  1851.  obi.  40.  ff.  (14). 

Kupfifer,  A.  T.  Preisschrift  uber  genaue  Mes- 
sung  der  Winkel  an  Krystallen.  Berlin,  1825.  40. 

pp.  viii.,  135+.  Plate. 

Marbach,  H.  Ueber  “hemiedrie  non  super- 
posable”;  Oder,  “ gewendete  Krystallformen.” 
Breslau,  1861.  40.  f.  (i),  pp.  20.  Plate. 

Determinants. 

(See  also  Elimination  and  Quantics.) 

Baltzer,  R.  Theorie  et  applications  des  deter- 
minants, avec  I’indication  des  sources  originales ; 
traduit  par  J.  Hoiiel.  Paris,  1861.  8®.  pp.  xii., 

235- 

Brioschi,  F.  La  teorica  dei  determinanti  e le 
sue  principali  applicazioni.  Pavia,  1854.  4“.  pp. 

V.,  f.  (I),  pp.  116. 

Theorie  des  determinants  et  leurs  princi- 
pals applications ; traduit  par  E.  Combescure. 
Paris,  1856.  8«.  pp.  xii.,  216. 

Dodgson,  C.  L.  An  elementary  treatise  on  de- 
terminants, with  their  application  to  simultaneous 
linear  ecjuations  and  algebraical  geometry.  London, 
1867.  40.  pp.  viii.,  143. 

Hoiiel,  J.  Notions  eiementaires  sur  les  deter- 
minants. Paris,  etc.,  1871.  4“.  f.  (i),  pp.  36,  f. 

(l).  Lithographed. 

Mansion,  P.  Elements  de  la  theorie  des  deter- 
minants, avec  de  nombrcux  exercices.  3<^ed.  Mons, 
etc.,  18^.  8«.  pp.  634*. 

Dialling. 

Clavius,  C.  Gnomonices  | libri  octo,  | in  qvi- 
bvs  I Non  solum  horologiorum  solariu,  | sed  aliaruin 
quocj'  rerum,  | qux*  ex  gnomonis  umbra  | cognosci 

tossunt,  de  scriptiones  | Geoinetrice  demonstrantur. 

Romce  apvd  Eranciscvm  Zanettvm. 
IDLXXXI.  fo.  ff.  (8),  pp.  654,  f.  (i).  IVdcts. 

Marked  as  vol.  iv.  of  “ Clavii  opera.” 

Emerson,  W.  Dialling;  or.  The  art  of  draw- 
ing dials  on  all  sorts  of  planes  whatsoever ; in  three 
parts.  [London,  1770]  8‘>.  pp.  iv.,  164.  Plates. 
Hd.  with  his  “Geography.” 

Foster,  S.  The  art  of  dialling,  by  a new,  easie, 
and  most  speedy  way ; shewing  how  to  describe  the 
house-lines  upon  all  sorts  of  plaines,  howsoever,  or 
in  what  latitude  soever  scituated;  as  also  to  find  the 
sun’s  azimuth.  London,  1638.  sm.  4°.  ff.  (3), 
pp.  39.  Plate  and  ivdcts. 

Sec  also  his  “ Miscellanies.” 


Gelder,  J.  J.  de.  Commentatio  ad  quaestionem 
mathematicam:  “Dato  piano  cuiuscunque  positionis 
et  puncto  extra  planum,  determinetur  per  formulam 
generalem  locus  umbrae  purae  huius  puncti,  proiec- 
tae  per  disci  solis  centrum  in  hoc  planum,  pro  quavis 
diei  hora  et  solis  declinatione,  neglectis  refractionis 
et  parallaxeos  effectibus  ? ” [Groningae,  1825.] 
40.  pp.  1 14.  Plate. 

Luchini  da  Pesaro,  D.  Trattenimenti  mate- 
matici,  i quali  comprendono  tavole  horarie  per  gli 
orologj  a sole  orizzontali,  vertical!,  riflessi,  e porta- 
tili ; con  una  notizia  della  geometria,  e trigonometria 
sferica,  e piana;  con  diversi  quesiti  e problem!  astro- 
nomic!, e del  calendario  ecclesiastico.  Roma,  1730. 
40.  ff.  (16),  pp.  368,  ff.  (175).  Plates. 

Twysden,  J.  The  whole  art  of  reflex  dialling, 
shewing  the  way  to  draw  all  manner  of  dialls  which 
shall  shew  the  hour  by  a spot  of  light  reflected  from 
a glasse,  [etc.]  London,  1659.  fo.  f.  (i),  pp.  9. 
Plate. 

Bd.  in  Foster’s  “Miscellanies.” 

See  also  Appendix  in  same  volume. 

Woepcke,  F.  Disquisitiones  archaeologico- 
mathematicae  circa  solaria  veterum. — Diss.  inaug. 
Berolini,  [1842].  40.  ff.  (3),  pp.  80,  f.  (i).  Plates. 

Engineering. 

(See  also  Applied  Mechanics,  Descriptive 
Geometry,  Practical  Geometry,  Machinery, 
and  Military  Engineering. ) 

American  institute  of  mining  engineers. 
'I'ransactions.  Vol.  i.,  ii.,  iv.-vi.,  ix.  May,  1871- 
Feb.  1881.  Philadelphia,  ^/r.,  [ I S71  ]-8i.  6 v.  8®. 

Vol.  V.  contains  a general  index  to  vol.  i.-v. 

Bossut,  [C.,  / 'abbe,  ] et  [G.  ] Viallet.  Recher- 
ches  sur  la  construction  la  plus  avantageuse  des 
digues.  Nouv.  ed.  Paris,  1798.  4®.  pp.  67-}-. 

Plates. 

Claudel,  J.  Formules,  tables  efrenseignements 
usuels ; aide-memoire  des  ingenieurs,  des  arcliitectes, 
etc.:  partie  pratique.  Neuv.  ed.  Paris,  1877.  2 v. 

80.  Plates  and  wdcts. 

Introduction  ii  la  science  de  I’ingenieur; 

aide-memoire  des  ingenieurs,  des  arcliitectes,  etc.  : 
partie  theorique.  ed.  Paris,  1875.  80.  pp. 

XV. -j-,  1126.  delates  and  7iidcts. 

Engineer  and  machinist’s  drawing-book  (The) ; 
a complete  course  of  instruction  for  the  practical  en- 
gineer : comprising  linear  drawing,  projection,  ec- 
centric curves,  gearing,  recii)rocating  macliinery, 
sketching  and  drawing  from  machines,  shadows, 
tinting  and  colouring,  and  jierspective.  London, 
1878.  f^^.  j)p.  viii.,  1 16.  I dates  and  wdcts. 

Gaudard,  J.  Foundations  ; translated  by  L.  F. 
V.  Harcourt.  New  York,  1878.  i8“.  pp.  404. 

IVdcts.  (Van  Nostrand’s  science  series,  34.) 

First  published  in  the  “ Froceedings  ” of  the  Institution  ol 
civil  engineers  of  Great  Britain.  Reprinted  in  Van  Nostrand’s 
engineering  magazine,  vol.  xviii.  (1878). 

Law,  H.  Civil  engineering  for  practical  en- 
gineers, and  for  the  army  and  navy;  the  section  on 
hydraulic  engineering  by  G.  R.  Burnell.  5th  ed., 
with  notes  and  illustrations  by  R.  Mallet.  London, 
1869.  120.  pp.  xii.,  152,  126,  208.  Plates. 

McAlpine,  W.  J.  Modern  engineering;  a lect- 
ure delivered  at  the  American  institute  in  New  York. 
2d  ed.  New  York,  1874.  8“.  pp.  71. 

Millar,  W.  J.  Principles  of  mechanics  and  their 
application  to  prime  movers,  naval  architecture,  iron 
bridges,  water  sujiply,  &c. ; [and]  Thermodynamics, 
with  special  reference  to  the  steam  engine.  London, 
1874.  8‘>.  pp.  vii.,  136.  Wdcts. 


40 


WORKS  RELA  TING  TO  MA  THEM  A TICS. 


Mosely,  H.  The  mechanical  principles  of  en- 
gineering and  architecture.  1st  Amer.  from  2d  Lon- 
don ed.,  with  additions  by  D.  H.  Mahan.  New 
York,  1856.  8®.  pp.  xxi.,  699.  Wdcts. 

Rankine,  W.  J.  M.  Useful  rules  and  tables 
relating  to  mensuration,  engineering,  structures,  and 
machines.  4th  ed.  London,  1873.  80.  pp.  viii., 

312.  Plate. 

Roper,  S.  The  engineer’s  handy-book;  con- 
taining a full  explanation  of  the  steam-engine  indi- 
cator, with  formulae  for  estimating  the  power  of 
steam-engines,  facts,  figures,  questions  and  tables 
for  engineers.  Philadelphia,  1881.  160.  pp.  [7]- 

678.  Wdcts. 

Sganzin,  I.  An  elementary  course  of  civil  en- 
gineering; translated  from  the  3d  French  ed.,  with 
notes  and  applications.  3d  ed.  Boston,  1837.  8®. 

pp.  viii.,  232.  Plates. 

Trautwine,  J.  C.  The  civil  engineer’s  pocket- 
book  of  mensuration,  trigonometry,  surveying,  etc. 
14th  thousand,  revised.  Philadelphia,  1881.  120. 

pp.  677.  Wdcts. 

United  States — Chief  of  engineers.  Analytical 
and  topical  index  to  the  reports  of  the  chief  of  en- 
gineers [etc.  ] upon  works  and  surveys  for  river  and 
harbor  improvement,  1866-79;  compiled,  under  the 
direction  of  H.  M.  Robert,  by  L.  Y.  Schermer- 
horn,  S.  O.  L.  Potter,  and  others.  Washington, 
1881.  80.  pp.  vii.,  f.  (i),  pp.  624. 

Annual  report  to  the  secretary  of  v/ar. 

1871-81.  Washington,  1871-81.  ii  v.  in  24.  8®. 

Maps,  plates  and  wdcts. 

For  earlier  reports  see  those  of  the  Secretary  of  war. 

Warner,  J.  New  theorems,  tables  and  diagrams 
for  the  computation  of  earth-work ; with  an  appen- 
dix. Philadelphia,  1861.  1.  80.  pp.  315+.  Plates. 

[Weisbach,  J.  ] Ingenieur:  Sammlung  von 
Tafeln,  h'ofmeln  und  Regeln  der  Arithmetik,  der 
theoretischen  und  praktischen  Geometrie  sowie  der 
Mechanik  und  des  Ingenieurwesens.  6®  umgear- 
beitete  Aufl.,  unter  Mitwirkung  von  F.  Reuleaux; 
herausgegeben  von  G.  Querfurth.  Braunschweig, 
1874-77.  nar.  8®.  pp.  xvii.,  931+.  Wdcts. 

A manual  of  the  mechanics  of  engineering 

and  of  the  construction  of  machines,  with  an  intro- 
duction to  the  calculus ; translated  from  the  4th  Ger- 
man ed.  by  E.  B.  Coxe.  Vol.  i.  New  York,  1870. 
8®.  Wdcts. 

Contents  : — Theoretical  mechanics. 

Same ; translated  bv  A.  J.  Du  Bois.  Vol. 

ii.,  pt.  I,  2.  New  York,  1880.  i v.  in  2.  8®. 

Port,  and  wdcts. 

Contents: — i.  Hydraulics  and  hydraulic  motors. — 2.  Heat, 
steam  and  the  steam-engine. 

A continuation  of  the  above  translation  by  Coxe. 

Wellington,  A.  M.  Methods  for  the  computa- 
tion from  diagrams  of  preliminary  and  final  estimates 
of  railway  earthwork.  New  York,  1874-75.  2 v. 

8®  and  f ®. 

Wheeler,  J.  B.  An  elementary  course  of  civil 
engineering.  New  York,  1877.  8®.  pp.  xix.,  472. 

Wdcts. 

Woodbury,  D.  P.  Sustaining  walls : geomet- 
rical constructions  to  determine  their  thickness  under 
various  circumstances;  derived  chiefly  from  a me- 
tnoir  of  [J.  V.]  i’oncelet.  2d  ed.  Washington, 
1854.  8®.  pp.  [233]-268.  Plates.  (U.  S. — Corps 
of  engineers.  Papers  on  practical  engineering,  3.) 

a.  Aqueducts  and  Water  Supply. 

Browne,  J.  H.  B.  Water  supply.  London, 
1880.  8®.  pp.  104. 


Corfield,  W.  H.  Water  and  water  supply. 
New  York,  1875.  18®.  pp.  145.  (Van  Nos- 

trand’s science  series,  17.) 

Humber,  W".  A comprehensive  treatise  on  the 
water  supply  of  cities  and  towns,  with  numerous 
specifications  of  existing  waterworks.  London, 
1876.  f®.  pp.  xiv.,  378.  Plates  and  wdcts. 

Jacob,  A.  The  designing  and  construction  of 
storage  reservoirs.  New  York,  1873.  18®.  pp.  95. 
'Wdcts.  (Van  Nostrand’s  science  series,  6.) 

New  York  (City) — Croton  aqueduct  department. 
Annual  report  to  the  common  council.  1862.  New 
York,  1863.  8®.  pp.  135.  Plates. 

Turnbull,  W.  Report  on  the  construction  of 
the  piers  of  the  aqueduct  of  the  Alexandria  canal 
across  the  Potomac  river.  1835-1840.  Washington, 
1873.  4®.  pp.  49.  Plates. 

Zeller,  C.  Des  conduites  d’eau,  de  leur  ^tab-  ' 
lissement  et  de  leur  entretien ; avec  tables  et  calculs. 
Paris,  1863.  18®.  ff.  (2),  pp.  89.  Wdcts. 

b.  Bridges  and  Trusses. 

Bender,  C.  Practical  treatise  on  the  properties 
of  continuous  bridges.  New  York,  1876.  18®.  pp. 
150.  (Van  Nostrand’s  science  series,  26.) 

Proportions  of  pins  used  in  bridges.  New 

York,  1873.  18®.  pp.  52.  Wdcts.  (Van  Nos- 

trand’s science  series,  4.) 

Boiler,  A.  P.  Description  of  the  new  wrought- 
iron  bridge  at  Bridgeport,  Ct.  n.  p.,  n.  d.  8®.  pp. 

(3 1 71-3 71-  (Prom  American  society  of  civil 
engineers.  Transactions,  xxiv.) 

Practical  treatise  on  the  construction  of  iron 

highway  bridges ; with  [an]  essay  upon  the  applica- 
tion of  the  principles  of  the  lever  to  a ready  analysis 
of  the  strains  upon  beams  and  trusses.  2d  ed.  New 
York,  1878.  8®.  pp.  x.,  (7)-i44.  Plates o.nd  wdcts. 

Burr,  W.  H.  A course  on  the  stresses  in  bridge 
and  roof  trusses,  arched  ribs  and  suspension  bridges. 
New  York,  i88o.*  8®.  pp.  viii.,  344.  Plates. 

Cain,  W.  Maximum  stresses  in  framed  bridges. 
New  York,  1878.  18®.  pp.  1924-.  (Van  Nos- 

trand’s science  series,  38. ) 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Theory  of  solid  and  braced  elastie  arches 

applied,  to  arch  bridges  and  roofs  in  iron,  wood,  con- 
crete, or  other  material:  graphical  analysis.  New 
York,  1879.  18®.  pp.  172.  Plates.  (Van  Nos- 

trand’s science  series,  48.) 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Voussoir  arches  applied  to  stone  bridges, 

tunnels,  domes  and  groined  arehes.  New  York, 
1879.  18®.  pp.  196.  (Van  Nostrand’s  science 

series,  42.) 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Chanute,  O.,  and  G.  Morison.  The  Kansas 
City  bridge ; with  an  account  of  the  regimen  of  the 
Missouri  river,  and  a description  of  methods  used 
for  founding  in  that  river.  New  York,  1870.  4®. 

pp.  1 39.  Plates. 

Clark,  E.  The  Britannia  and  Conway  tubular 
bridges  ; with  general  inquiries  on  beams  and  on 
the  ])roperties  of  materials  used  in  construction ; 
under  the  supervision  of  R.  Stephenson.  London, 
1850.  2 V.  8®,  and  Atlas  of  plates,  f®. 

Clarke,  T.  C.  An  aceount  of  the  iron  railway 
bridge  across  the  Mississippi  river,  at  Quincy,  111. 
New  York,  1869.  4®.  pp.  71-}-.  Plates. 

Dempsey,  G.  D.  Examples  of  iron  bridges  for 
railways  and  other  works;  shewing  the  details  of 
construction,  as  adopted  in  the  application  of  cast 


CORNELL  UN/VERS/TV. 


41 


and  wrought  iron.  London,  1852.  40,  and  ARas 

of  plates,  f«. 

Dempsey,  G.  D.  Tubular  and  other  iron  gird- 
er bridges,  particularly  describing  the  Britannia  and 
Conway  tubular  bridges ; with  a sketch  of  iron 
bridges  and  illustrations  of  the  application  of  mal- 
leable iron  to  the  art  of  bridge-building.  3d  ed. 
London,  1865.  120.  pp.  (iii.)-viii.,  136.  Wdcts. 

(Weale’s  elementary  series,  43.) 

Diedrichs,  J.  H.  The  theory  of  strains : a com- 
pendium for  the  calculation  and  construction  of 
bridges,  roofs  and  cranes,  with  the  application  of 
trigonometrical  notes.  Baltimore,  1871.  8®.  pp. 

184.  Plates. 

Du  Bois,  A.  J.  The  elements  of  graphical  stat- 
ics and  their  application  to  framed  structures,  with 
practical  examples  of  cranes,  bridge,  roof  and  sus- 
pension trusses,  braced  and  stone  arches,  pivot  and 
draw  spans,  continuous  girders,  &c.  2d  ed.,  revised 
and  corrected.  New  York,  1875.  and  Atlas  of 
plates. 

The  new  method  of  graphical  statics.  New 

York,  1875.  80.  pp.  79.  Plates. 

ist  ed.  of  preceding.  Reprinted  from  Van  Nostrand’s  en- 
gineering magazine. 

Eddy,  H.  T.  Researches  in  graphical  statics. 
New  York,  1878.  8®. 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Greene,  C.  E.  Trusses  and  arches  analyzed 
and  discussed  by  graphical  methods.  New  York, 
1880,  ’79.  3 V.  80.  Plates. 

Cofitefits: — I.  Graphical  analysis  of  roof-trusses. — ii.  Bridge- 
trusses.  — iii.  Arches. 

Haupt,  H.  General  theory  of  bridge  construc- 
tion : containing  demonstrations  of  the  principles  of 
the  art  and  their  application  to  practice  ; furnishing 
the  means  of  calculating  the  strains  upon  the  chords, 
ties,  braces,  counter-braces,  and  other  parts  of  a 
bridge  or  frame  of  any  description.  New  York,  1856. 
80.  pp.  268.  Plates. 

Hildenbrand,  W.  Cable-making  for  suspen- 
sion bridges,  with  special  reference  to  the  cables  for 
the  East  River  bridge.  New  York,  1877.  iS*^. 

pp.  121.  Plates  and  Wikts.  (Vail  Nostraiid’s  sci- 
ence series,  32.) 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Humber,  W.  A handy  book  for  the  calculation 
of  strains  in  girders  anfl  sinular  structures,  and  their 
strength.  New  York,  1869.  8®.  pp.  x.,  71. 

Plates  and  wdcts. 

A complete  treatise  on  cast  and  wrought 

iron  bridge  construction,  including  iron  foundations. 
2d  ed.  I.ondon,  1864.  fo,  and  Atlas  of  plates. 
pp.  xii.,  f.  (i),  pp.  237-f-. 

Hyde,  E.  W.  Skew  arches : advantages  and 
disadvantages  of  different  methods  of  construction. 
New  York,  1875.  18®.  pp.  104.  Plates.  (Van 
Nostrand’s  science  series,  15.) 

McMaster,  J.  B.  Bridge  and  tunnel  centres. 
New  York,  1875.  i8«,  pp.  106.  Wdcts.  (Van 
Nostrand’s  science  series,  20.) 

Merrill,  W.  E.  I ron  truss  bridges  for  railroads : 
methods  of  calculating  strains,  with  a comparison  of 
the  most  prominent  truss  bridges,  and  new  formulas 
for  bridge  computations ; also.  The  economical 
angles  for  struts  and  ties.  New  York,  1870.  40. 

pp.  130. 

Merriman,  M.  On  the  theory  and  calculation 
of  continuous  bridges.  New  York,  1876.  l8‘^.  j)p. 

130.  (Van  Nostrand’s  science  series,  25.) 

Ranken,  F.  A.  I'he  strains  in  trusses  comi)uted 
by  means  of  diagrams.  London,  1872.  8^.  ff.  (4), 

pp.  63. 


Roebling,  J.  A.  Long  and  short  span  railway 
bridges.  New  York,  1869.  fo.  f.  (i),  pp.  50,  ff. 
(to).  Plates. 

Shreve,  S.  H.  A treatise  on  the  strength  of 
bridges  and  roofs,  with  practical  applications  and 
examples.  New  York,  1873.  8®.  f.  (i),  pp.  xx., 

346. 

Stoney,  B.  B.  The  theory  of  strains  in  girders 
and  similar  structures,  with  observations  on  the  ap- 
plication of  theory  to  practice,  and  tables  of  the 
strength  and  other  properties  of  materials.  New 
ed.,  enlarged  and  revised.  New  York,  1873.  pp. 
xxxi.  ,632.  Wdcts. 

[Ware,  S.  ] Tracts  on  vaults  and  bridges.  Lon- 
don, 1822.  80.  pp.  XX.,  ff.  (3),  pp.  73,  f.  (i),  pp. 

70,  f.  (i),  pp.  177.  Plates. 

Contents: — i.  On  vaults. — 2.  The  taking  down  and  re- 
building London  bridge.  — 3.  The  principles  of  pendent  bridges, 
with  reference  to  the  catenary,  applied  to  the  Menai  bridge. 

A treatise  of  the  properties  of  arches  and 

their  abutment  piers  ; containing  directions  for  de- 
scribing geometrically  the  calenaria  and  the  extra- 
dosses of  all  curves.  London,  1809.  8®.  pp.  ix., 

62.  Plate. 

Wenckebach,  W.  De  pontium  lapideorum 
forma  et  mensuris  ex  aequilibrii  doctrina  determin- 
andis.  Amstelodami,  1830.  40.  fif.  (2),  pp.  116, 

f.  (i).  Plates. 

Whipple,  S.  An  elementary  and  practical 
treatise  on  bridge  building.  Enlarged  and  improved 
ed.  New  York,  1872.  8®.  pp.  vi.,  317,  f.  (i). 

Plate  and  wdcts. 

Woodbury,  D.  P.  Treatise  on  the  various  ele- 
ments of  stability  in  the  well-proportioned  arch; 
with  tables  of  the  ultimate  and  actual  thrust.  New 
York,  1858.  80.  ff.  (2),  pp.  (i87)-438.  Plates. 

(U.  S. — Corps  of  engineers.  Tapers  on  practical 
engineering,  7.) 

c.  Canals. 

Barnard,  J.  G.  Report  on  the  North  Sea  canal 
of  Holland;  and  on  the  improvement  of  navigation 
from  Rotterdam  to  the  sea.  Washington,  1872. 
4‘>.  jq-).  77.  Plates.  (U.  S. — Corps  of  engineers. 

Trofessional  papers,  22.) 

Lesseps,  F.  de.  The  Suez  canal : letters  and 
documents  descriptive  of  its  rise  and  progress  in 
1854-56;  translated  by  N.  D’ Anvers.  London, 
1876.  8‘*.  pp.  viii.,  31 1. 

New  York  instate') — State  engineer  and  survey- 
or. Annual  rcj)ort  on  the  canals  of  the  state.  1879. 
Albany,  1880.  8”.  Maps  and  plates. 

San  Francisco — Board  of  trade.  Report  of 
special  committee  on  inter-oceanic  canal.  San  Fran- 
cisco, 1880.  8*'.  pp.  33. 

Stevenson,  D.  The  principles  and  practice  of 
canal  and  river  engineering.  2d  ed.  Edinburgh, 
1872.  8^.  pp.  xiii.,  f.  (i),  pp.  347.  Plates  and 

wdcts. 

d.  Jlydrattlic  engineering  and  Hydraulic  Motors. 

Bleiswyck,  P.  van.  De  aggeribus.  Lugduni 
Batavorum,  1745.  4**.  ff.  (2),  pp.  61.  Plates. 

Brisse,  A.,  and  "Lx.  de  Rotrou.  'I'he  draining 
of  lake  Fucino  accomplished  by  Trince  Alexander 
Torlonia;  an  abridged  account,  historical  and  tech- 
nical : English  translation  by  V.  de  Tivoli.  Rome, 
1876.  2 v.  4‘>  and  f«. 

Burnell,  G.  R.  The  rudiments  of  hydraulic  en- 
gineering. Newed.  London,  1868.  I2«.  pp.  x., 

283. 


42 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


Eads,  J.  B.  Report  on  the  Mississippi  jetties. 
1876.  n.  p.,  n.  d.  80,  pp.  25.  Charts. 

Francis,  J.  B.  Lowell  hydraulic  experiments ; 
being  a selection  from  experiments  on  hydraulic 
motors,  on  the  flow  of  water  over  weirs,  in  open 
canals  of  uniform  rectangular  section,  and  through 
submerged  orifices  and  diverging  tubes.  3d  ed., 
revised  and  enlarged.  New  York,  1871.  40.  pp. 

xi.,  251.  Plates. 

Hagen,  G.  Handbuch  der  Wasserbaukunst. 
Bd.  i.-vi.,  3®  Aufl. ; vii.-x.,  2®  Aufl.  Berlin,  1869- 
81.  10  V.,  8®,  and  Atlas  of  plates,  obi.  f®. 

Contents:  — i.,  ii.  Brunnen,  Wasserleitungen  und  Fundir- 
ungen.  — iii.-vi.  Ufersch^ungen,  Strombauten  und  Schiffahrts- 
Can^e.  — vii.-x.  Seeufer-  und  Hafen-Bau. 

Hirn,  G.  A.  Etude  sur  une  classe  particuliere 
de  tourbillons  qui  se  manifestent  sous  des  certaines 
conditions  speciales  dans  les  liquides.  Paris,  1878. 
8®.  pp.  40.  Plates, 

Humphreys,  A.  A.,  andH.  L.  Abbot.  Phys- 
ics and  hydraulics  of  the  Mississippi : Reply  to  crit- 
icisms made  by  Dr.  Hagen.  New  York,  1878.  4®. 

pp.  8. 

Report  upon  the  physics  and  hydraulics  of 

the  Mississippi  river;  upon  the  protection  of  the 
alluvial  region  against  overflow;  and  upon  the  deep- 
ening of  the  mouths  (reprinted  with  additions). 
Washington,  1876.  4®.  pp.  xxiii.-f-,  691*  Maps 

and  plates.  (U.  S. — Corps  of  topographical  en- 
gineers. Professional  papers,  13.) 

McMaster,  J.  B.  High  masonry  dams.  New 
York,  1876.  18®.  pp.  132.  (Van  Nostrand’s 

science  series,  22.) 

Trowbridge,  W.  P.  Turbine  wheels : on  the 
inapplicability  of  the  theoretical  investigations  of  the 
turbine  wheel  as  given  by  Rankine,  Weisbach, 
Bresse  and  others  to  the  modern  constructions  in- 
troduced by  Boyden  and  Francis.  New  York,  1879. 
18®.  pp.  88.  (Van  Nostrand’s  science  series, 
44-)  ... 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Verdam,  G.  J.  Dissertatio  in  qua,  ratione 
mathematica  et  physica,  quaeritur  de  mensura,  con- 
structione,  et  munitione  aggerum  terreorum,  ad 
lacus,  fluvius  et  mare  ab  agris  humilioribus  ascenda. 
l.ugduni  Batavorum,  1825.  4®.  ff.  (2),  pp.  ii.,  107, 

ff.  (2).  Plate. 

Wells,  W.  The  water-power  of  Maine.  Au- 
gusta, 1869.  8®.  pp.  viii.,  526. 

Wex,  Sir  G.  hhrst  treatise  on  the  decrease  of 
water  in  springs,  creeks  and  rivers,  contemporane- 
ously with  an  increase  in  height  of  floods  in  culti- 
vated countries ; from  the  Papers  of  the  Society  of 
Austrian  engineers  and  architects,  1873,  nos.  2,  4, 
6;  translated  by  G.  Weitzel.  Washington,  i88t. 
8®.  pp.  57.  Plates. 

A lecture  on  the  progress  of  the  works  of 

completion  of  the  new  improved  bed  of  the  Danube 
at  Vienna,  with  a description  of  the  catastrophe  pro- 
duced by  the  ice  gorge  of  1880;  from  the  Journal  of 
the  Society  of  Austrian  engineers  and  architects,  no. 
3,  1880;  translated  by  G.  Weitzel.  Washington, 
PP-  33-  Riates. 

e.  lighthouses. 

Adams,  W.  H.  D.  Lighthouses  and  lightships ; 
a descriptive  and  historical  account  of  their  mode  of 
construction  and  organization.  London,  1878.  8®. 

pp.  326.  Pront.,  plates  d.r\(l  7udcts. 

Elliot,  G.  H.  Report  of  a tour  of  inspection  of 
European  light-house  establishments,  made  in  1873. 
Washington,  1874.  8®.  pp.  288.  Plates  tmlh^ivdcts. 


(U.  s . — Senate ; eg^d  Cong.,  ist  sess.  Ex.  Doc., 
54-) 

Same.  London,  1875.  8®.  pp.  284.  Plates 

and  wdets. 

Great  Britain — Commissioners  \_on'\  lights,  buoys 
and  beacons.  Extracts  from  the  report  submitted 
1861.  Republished  for  the  U.  S.  light-house  estab- 
lishment. Washington,  1871.  8®.  pp.  254. 

Kurz,  J.  D.,  and  M.  R.  Brown.  Report  on 
the  effects  of  the  sea-water  and  exposure  upon  the 
iron-pile  shafts  of  the  Brandywine-shoal  light-house. 
Washington,  1874,  4®.  pp.  13+-  Plates.  (U.  S. 
— Corps  of  engineers.') 

Reynaud,  L.  Memoir  upon  the  illumination 
and  beaconage  of  the  coasts  of  France;  translated 
by  P.  C.  Hains.  Washington,  1876.  4®.  pp.  226. 

Plates  and  wdets.  (U.  S. — Light  house  boa?'d.) 

Memoir  upon  the  light-house  illumination 

of  the  coast  of  France ; translated  by  T.  A.  Jenkins. 
Washington,  1871.  8®,  diXid,  Atlas  of  plates,  4®.  (U. 

S. — Light  house  board.) 

United  States — Light  house  board.  Instruc- 
tions and  directions  to  light-house  keepers  and  oth- 
ers belonging  to  the  Light-house  establishment. 
Jan.,  1870.  Washington,  1870.  8®.  pp.  173. 

Same.  1871.  6th  ed.  Washington,  1871. 

8®.  Plates. 

List  of  illuminating  apparatus  and  supplies 

in  general  use  in  the  U.  S.  light-houses,  lighted- 
beacons,  and  light-vessels,  with  directions  for  dis- 
tributing supplies,  etc.  Washington,  1870.  8®. 

PP-  55- 

List  of  light-houses,  lighted  beacons,  and 

floating  lights  of  the  Atlantic,  Gulf,  and  Pacific  coasts 
of  the  United  States,  corrected  to  January  i,  1872. 
Washington,  1872.  4®.  pp.  54. 

List  of  lights  on  the  northern  lake  and 

river  coasts  of  the  United  States,  corrected  to  Janu- 
ary I,  1872  ; and  also  of  the  English  lights  on  the 
northern  shores  of  those  waters.  [Washington,] 
1872.  4®.  pp.  35. 

Organization  and  duties  of  the  Light-house 

board ; and  regulations,  instructions,  circulars  and 
general  oi'ders  of  the  light-house  establishment  of 
the  United  States.  Washington,  1871.  8®.  pp 

213. 

f.  Mechanical  Engineermg. 

Campiii,  F.  A practical  treatise  on  mechanical 
engineering,  comprising  metallurgy,  moulding,  cast- 
ing, forging,  tools,  workshop  machinery,  mechanical 
manipulation,  manufacture  of  the  steam-engine,  etc. ; 
with  an  Appendix  on  the  analysis  of  iron  and  iron 
ores ; [and] : The  construction  of  steam  boilers, 
furnaces  for  smoke  prevention,  and  explosions,  by 
R.  Armstrong,  revised  by  J.  Bourne ; Rules  for  cal- 
culating the  change  wheels  for  screws  on  a turning 
lathe,  and  for  a wheel-cutting  machine,  by  J.  La 
Nicca;  The  management  of  steel,  by  G.  Ede.  Phil- 
adelphia, 1877.  8®.  pp.  416.  Plates  and  wdets. 

Clark,  D.  K.  A manual  of  rules,  tables,  and 
data  for  mechanical  engineers.  2d  ed.  London, 
1878.  8®.  pp.  xxvii.,  984. 

g.  Railroads. 

Adams,  C.  T.,jr.  Notes  on  railroad  accidents. 
New  York,  1879.  12®.  pp.  viii.,  279. 

Railroads : their  origin  and  problems.  Re- 
vised ed.,  with  appendix.  New  York,  [1878].  12®, 

ff.  (2),  pp.  230. 


CORNELL  UNI  VERSITY. 


43 


Bartels,  H.  Belriebs-einriclitungcn  auf  amgi'- 
ikanischcn  Eisenbahnen.  i.  Eerlin,  1879.  *^79- 

pp.  xv.-{-,  267.  Plates  and  zadcts. 

Conte7its: — Bahnhofsanlagen  unci  Signale. 

Chevalier,  M.  Histoire  et  description  des  voies 
de  communication  aux  Etats-Unis  et  des  travaux 
d’art  qui  en  dependent.  Paris,  1840-41.  2 v.  in  i. 

40. 

Coutinho,  J.  M.  da  S.  Estrada  de  Ferro  do 
Recife  ao  S.  Francisco;  estudos  definitivos  de  Una  a 
Boa-Vista.  Rio  de  Janeiro,  1874.  40.  pp.  155. 

Dowson,  J.  E.  and  A.  Tramways  : their  con- 
struction and  working.  London,  etc.,  1875.  8®. 

pp.  654--  Wdets. 

Dredge,  J.  The  Pennsylvania  railroad : its  or- 
ganization, construction,  and  management.  Lon- 
don, 1879.  1.  40.  pp.  xiv.,  f.  (i),  pp.  274.  Port., 

map,  plates  and  wdcts. 

“ Chiefly  reproduced  from  ‘ Engineering’.” 

Franqueville,  C.  de.  L’etat  et  les  chemins  de 
fer  en  Angleterre ; Lettre  au  president  de  la  Com- 
mission des  annales  des  ponts  et  chaussees.  Paris, 
1880.  80.  pp.  32. 

Hartwich,  E.  Erweiterungsbauten  der  rhein- 
ischen  Eisenbahn.  i.,  iii.  Berlin,  1867-69.  2 v. 

f o.  Plates. 

Conte 7its  : — i.  Die  Rheinbriicke  bei  Coblentz. — iii.  Eiseme 
Brucken. 

Langdon,  W.  E.  The  application  of  electricity 
to  railway  working.  London,  1877.  8®.  pp.  xv., 

315.  Plates  ‘m.H  wdcts. 

Marqfoy,  G.  Nouveau  systeme  d’appareils  ^lec- 
triques  destinies  a assurer  la  securite  des  chemins 
de  fer.  Paris,  1858.  8®.  pp.  xiv.,  64.  Plates. 

Massachusetts — Board  of  railroad  commission- 
ers. 4th  annual  report.  1873.  Boston,  1873.  80. 
pp.  xii.,  229. 

New  York  {State) — State  engineer  and  survey- 
or. Annual  report  [on  railroacls],  1862,  66,  68, 
7L  73~75*  77~79'  Albany,  1863-80.  10  v.  8^*. 

Plates  and  maps. 

State  engineers  and  surveyors:  — 1862,  ’73,  W.  13.  Taylor; 
1866,  J.  P.  Goodsell;  1868,  ’71,  V.  R.  Richmond;  1874,  ’75, 
S.  H.  Sweet;  1877,  J.  D.  Van  Burcn,  jr. ; 1878,  ’79,  II.  Sey- 
mour. The  reports  were  prepared  by  the  deputy  state  engineer 
and  surveyor. 

Ohio — Commissioner  0/  railroads  and  telegraphs. 
Annual  report.  1870.  Columbus,  1870-71.  2 v.  8‘>. 

Contents  : — i.  Laws  and  charters.  — ii.  Statistics. 

Perdoiinet,  A.  Traite  dlementaire  des  chemins 
de  fer.  Tp  ed.  Paris,  1865.  4 v.  8*^.  J'ort., 

maps,  plates  and  wdcts. 

Poor.  H.  V.  Manual  of  the  railroads  of  the 
United  States;  showing  their  mileage,  stocks, 
bonds,  cost,  traffic,  earnings,  expenses  and  organi- 
zations; with  an  appendix.  1868-73.  New  York, 
1868-73.  5 V.  8*^. 

Rae,  J.  Railways  of  New  South  Wales;  report 
^)n  their  construction  and  working,  1872-75  inclu- 
sive. Sydney,  N.  S.  W.,  1876.  fo.  pp.  128. 
Diagrs.  and  maps. 

Seymour,  S.  A review  of  the  theory  of  narrev.* 
gauges  as  ajiplied  to  main  trunk  lines  of  railway. 
New  York,  1871.  80.  pp.  56.  Diagr. 

Trautwine,  J.  C.  The  field  practice  of  laying 
out  circular  curves  for  railroads.  8th  ed.  Pliila- 
delidiia,  1873.  120.  pp.  108. 

Voae,  G.  L.  Manual  for  railroad  engineers  and 
engineering  students,  containing  the  rules  and  ta- 
llies needed  for  the  location,  construction,  and 
equipment  of  railroads,  as  built  in  the  United  States. 
Boston,  1873.  8«,  and  Atlas  0/ plates. 


h .  Reta  in  i ng  ^ IVa  I Is. 

Allen,  J.  R.  Theory  and  practice  in  the  design 
and  construction  of  dock  walls.  London,  1876.  40. 

pp.  xii.,  54.  Plates. 

Jacob,  A.  Practical  designing  of  retaining 
walls.  New  York,  I873.  180.  pp.  47.  Wdcts. 

(Van  Nostrand’s  science  series,  3.) 

Tate,  J.  S.  Surcharged  and  different  forms  of 
retaining  walls.  New  York,  1^73.  180.  pp.  59. 

(Van  Nostrand’s  science  series,  7.) 

i.  Roads. 

Gillespie,  W.  M.  A manual  of  the  principles 
and  practice  of  road-making ; comprising  the  loca- 
tion, construction,  and  improvement  of  roads  and 
railroads.  9th  ed.  New  York,  1870.  8®.  pp.  372. 
Plate  and  wdcts. 

Gillmore,  Q.  A.  A practical  treatise  on  roads, 
streets  and  pavements.  New  York,  1876.  12^. 

pp.  258.  Wdcts. 

Hughes,  S.,  H.  Law,  and  J.  F.  Burgoyne. 
Rudimentary  papers  on  the  art  of  constructing  and 
repairing  common  roads.  4th  ed.  London,  1868. 

1 20.  pp.  vi.,  202. 

j.  Sanitary  Engineering. 

Bayles,  J.  C.  House  drainage  and  water  serv- 
ice in  cities,  villages,  and  rural  neighborhoods,  with 
incidental  consideration  of  causes  affecting  the  health- 
fulness of  dwellings.  New  York,  1879.  8®.  f.  (i), 

pp.  351.  Plates  and  7vdcts. 

Cain,  W.  Sanitary  engineering.  2d  ed.  Ral- 
eigh, 1880.  pp.  86.  Plates.  (North  Carolina 
— Board  of  health.  [Publications.]) 

Latham,  B.  Sanitary  engineering;  A guide  to 
the  construction  of  works  of  sewerage  and  house 
drainage,  with  tables.  London,  1873.  8^*.  ff.  (4), 

pp.  352.  Plates  and  7vdcts. 

k.  Steam  and  Steam  Engine. 

Auchincloss,  W.  S.  The  practical  application 
of  the  slide  valve  and  link  motion  to  stationary,  port- 
able, locomotive,  and  marine  engines,  with  new  and 
simple  methods  for  proportioning  the  parts.  7th 
ed.  New  \'ork,  1880.  8‘>.  pp.  170.  Plates  and 

xudets. 

Baker,  J.  The  mathematical  theory  of  the  steam 
engine,  with  rules  anef  examples  for  the  use  of  prac- 
tical men.  New  ed.  London,  1870.  I2‘>.  pp. 

118.  Hhlcts.  (Weale’s  rudimentary  series,  139.) 

Bourne,  J.  A treatise  on  the  steam-engine  in 
its  applications  to  mines,  mills,  steam  navigation, 
railways,  and  agriculture ; with  theoretical  investi- 
gations respecting  the  motive  power  of  heat  and  the 
proper  proportions  of  steam-engines,  and  practical 
illustrations;  being  the  7th  ed.  of  “A  treatise  on 
the  steam-engine,”  by  the  “Artisan  club.”  Lon- 
don, 1866.  40.  pp.  X.,  f.  (i),  pp.  495s  Plates  and 

wdcts. 

Buel,  R.  H.  Safety-valves.  New  York,  1875. 
i8’».  pp.  100.  Wdcts.  (Van  Nostraiid’s  science 
series,  21.) 

RepriiitcU  from  Van  Nostrand’s  engineering  magazine. 

Burgh,  N.  P.  d'he  slide  valve  practically  con- 
sidered. 4th  ed.  London,  1872.  i6«.  pp.  viii., 

1 2 1 . Wdcts. 

Cotterill,  J.  H.  The  steam  engine  considered 
as  a heat  engine : a treatise  on  the  theory  of  the 
steam  engine.  Londo-n,  etc.,  1878.  8®,  pp.  xvi., 

346.  Diagrs. 

'i'wo  copies. 


44 


WORKS  RELA  TING  TO  MA  THEM  A TICS. 


Evers,  H.  Steam  and  the  steam  engine : land, 
marine  and  locomotive.  London,  1873.  sm.  80. 
pp.  373.  Wdcis.  (Collins’s  advanced  science  se- 
ries, 22.) 

Steam  and  the  steam  engine : land  and 

marine.  N.  Y.,  1873.  16®.  pp.  160.  Wdcts. 

(Putnam’s  elementary  science  series,  22  a. ) 

Fletcher,  W.  The  abuse  of  the  steam  jacket 
practically  considered ; with  a statement  of  some  of 
the  requirements  for  obtaining  beneficial  results. 
London,  etc.,  1878.  80.  pp.  xvi.,  60.  Wdcts. 

Goodeve,  T.  M.  Text-book  on  the  steam  en- 
gine. London,  1879  [1878].  8®.  pp.  (iii.)-vi., 

fi  (i),  pp.  296.  Wdcts. 

Graham,  J.  C.  An  elementary  treatise  on  steam 
and  the  use  of  the  indicator.  London,  etc.,  1877. 
8®.  fT.  (4),  pp.  140.  Wdcts. 

Isherwood,  B.  F.  Experimental  researches  in 
steam  engineering ; composed  of  experiments  made 
by  the  U.  S.  navy  department.  Philadelphia,  1863- 
65.  2 V.  40.  Plates. 

Jacqmin,  F.  Des  machines  a vapeur.  Paris, 
1870.  2 V.  80. 

Lardner,  (D.)  The  steam  engine;  for  the  use 
of  beginners.  loth  ed.  London,  1869.  pp.  viii., 
ii.,  135.  Plate  and  wdcts.  (Weale’s  rudimentary 
series,  34.) 

Lyman,  E.  The  use  of  the  steam-engine  indi- 
cator; or.  Practical  science  for  practical  men.  New 
Haven,  Conn.,  1874.  sm.  160.  pp.  95.  Port,  and 
diagrs. 

Mac  Cord,  C.  W.  A practical  treatise  on  the 
movement  of  slide  valves  by  eccentrics.  New  York, 
1873.  40.  pp.  88.  Plates. 

Mallet,  A.  Compound  engines;  translated  from 
the  French.  New  York,  1874.  180.  pp.  82. 

(Van  Nostrand’s  science  series,  10.) 

Pochet,  L.  Steam  injectors;  their  theory  and 
use ; translated  from  the  French.  New  York,  1877. 
180.  pp.  79.  (Van  Nostrand’s  science  series, 
29-)  . ... 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Porter,  C.  T.  A treatise  on  the  Richards  steam- 
engine  indicator,  and  the  development  and  applica- 
tion of  force  in  the  steam-engine.  3d  ed.  London, 
[1874].  80.  pp.  258.  Plates. 

Rankine,  W.  J.  M.  A manual  of  the  steam 
engine  and  other  prime  movers.  5th  ed.  London, 
1870.  80.  pp.  xxxii.,  575.  Wdcts.  and  diagr. 

Rigg,  A.  A practical  treatise  on  the  steam-en- 
gine. l.ondon,  1878.  40.  pp.  xvi.,  312.  Plates 

and  wdcts. 

Roper,  S.  A catechism  of  high  pressure  or  non- 
condensing steam  engines,  including  the  modelling, 
constructing,  running  and  management  of  steam 
engines  and  boilers.  14th  ed.  riiiladelphia,  1882. 
180.  pp.  (v.  )-232.  Port.  walS.  wdcts. 

Hand-book  of  land  and  marine  engines; 

including  the  modelling,  construction,  running  and 
management  of  land  and  marine  engines  and  boilers. 
5th  ed.  J’hiladelphia,  1881.  16®.  pp.  (iii.  )-598. 

l‘ort.  and  wdcts. 

Hand-book  of  modern  steam  fire-engines, 

including  the  running,  care,  and  management  of 
steam  fire-engines  and  fire-jiumps.  riiiladelphia, 
1876.  i6«.  pp.  (ix.)-4ii.  J^rt.  :in(\  wdcts. 

Thurston,  R.  H.  A history  of  the  growth  of 
the  steam-engine.  New  York,  1878.  I2«.  jip.  xvi., 

f.  ( I ),  pp.  490.  Eront.,  portrs.  dii\d  wdcts.  (Inter- 
national scientific  series,  24.) 

On  the  several  effici*^  des  of  the  steam- 


engine,  and  on  the  conditions  of  maximum  economy. 
Author’s  ed.  n.  p.,  1882.  80.  pp.  44.  Plate. 

From  the  Transactions  of  the  Amer.  soc.  of  mechanical  en- 
gineers, vol.  iii. 

Tredgold,  T.  [The  principles  and  practice  and 
explanation  of  the  construction  of  the  steam  engine.] 
London,  1850-53.  3 v.  in  4.  40.  Plates. 

Cojitejits  : — i.  Locomotive  engines. — ii.  Machinery  used  in 
steam  navigation : i.  Text ; 2.  Plates.  — iii.  Stationary  en- 
gines, [etc.]. 

Turnbull,  J.,  Jr.  A short  treatise  on  the  com- 
pound steam  engine,  with  a new  method  of  finding 
the  relative  areas  of  the  two  cylinders.  New  York, 
1874.  180.  pp.  43.  Diagrs.  (Van  Nostrand’s 

science  series,  8.) 

Wit,  A.  de.  De  machina  atmica.  Trajecti  ad 
Rhenum,  1823.  40.  pp.  x.,  f.  (i),  pp.  88-}-. 

Plates. 

I.  Boilers. 

Armstrong,  R.  The  construction  and  manage- 
ment of  steam  boilers  ; with  an  appendix  by  R.  Mal- 
let. 5th  ed.  London,  1866.  120.  pp.  (iii.)-viii., 

184.  Wdcts.  (Weale’s  rudimentary  series,  59.) 

Barr,  W.  M.  A practical  treatise  on  high  pres- 
sure steam  boilers,  including  results  of  recent  experi- 
mental tests  of  boiler  materials,  with  a description 
of  approved  safety  apparatus,  steam  pumps,  inject- 
ors and  economizers  in  actual  use.  Indianapolis, 
Ind.,  1880.  80.  pp.  (iii.)-vi.,  f.  (i),  pp.  456. 

Plates  and  %vdcts. 

Colburn,  Z.  Steam  boiler  explosions.  New 
York,  1873.  180.  pp.  98.  (Van  Nostrand’s 

science  series,  2.) 

Marten,  E.  B.  Boiler  explosions,  1879:  con- 
tinuation of  “ Records  of  steam  boiler  explosions,” 
with  brief  details  of  explosions  during  the  years 
1862-3-4-5,  to  complete  records.  London,  1880. 
80.  ff.  (14).  Wdcts. 

Brief  abstracts  from  reports  on  steam  boiler 

explosions.  [1866-78].  Stourbridge,  Eng.,  1869- 
[79].  80.  ff.  (148).  Wdcts. 

Bd.  with  his  Records  of  steam  boiler  explosions. 

Records  of  steam  boiler  explosions.  Lon- 
don, etc.,  1878.  80.  pp.  108.  Wdcts. 

Contents:  — On  steam  boiler  explosions  and  their  records, 
and,  On  inspection  as  a means  of  prevention.  — On  the  conclu- 
sions derived  from  the  experience  of  recent  steam  boiler  explo- 
sions. — Boiler  explosions. 

Prideaux,  T.  S.  The  economy  of  fuel,  par- 
ticularly with  regard  to  reverberatory  furnaces  for 
the  manufacture  of  iron,  and  to  steam  boilers.  Lon- 
don, [186-].  12®.  pp.  xvi.,  128. 

Rowan,  F.  J.  On  boiler  incrustation  and  corro- 
sion. New  York,  1876.  180.  pp.  88.  (Van 

Nostrand’s  science  series,  27.) 

Roper,  S.  Use  and  abuse  of  the  steam-boiler. 
6th  ed.  Philadelphia,  1881.  180.  pp.  347.  Wdcts. 

Shock,  W.  H.  Steam  boilers ; their  design, 
construction  and  management.  New  York,  i880h, 
40.  ff.  (2),  pp.  473.  Plates  and  wdcts. 

2.  Locomotive  Engines. 

Evers,  H.  Steam  and  the  locomotive  engine. 
New  York,  1873.  i6«.  pp.  160.  Wdcts.  (Put- 

nam’s elementary  science  series,  22  b. ) 

Roper,  S.  Hand-book  of  the  locomotive,  includ- 
ing the  construction,  running  and  management  of 
locomotive  engines  and  boilers.  9lh  ed.  Phila- 
delphia, 1881.  180.  pp.  (iii.)-xv.,  19-324.  Port. 

Zeuner,  G.  Treatise  on  valve-gears  with  special 
consideration  of  the  link-motions  of  locomotive  en- 
gines; translated  by  M.  Muller.  3d  ed.  Lon 
don,  1869.  8®.  pp.  xii.,  224.  Plates. 


CORNELL  UNIVERSITY. 


45 


3.  Marine  Engines. 

Burgh,  N.  P.  Modern  marine  compound  en- 
gines ; a supplement  to  modern  marine  engineering. 
London,  1873.  40.  f.  (i),  pp.  405-410.  Plates. 

Modern  marine  engineering.  London, 

1872.  40.  ff.  (2),  pp.  403.  Plates  and  wdets. 

Edwards,  E.  A catechism  of  the  marine  steam 
engine.  3d  ed.  Philadelphia,  1881.  12°.  pp.  414. ' 

Plates  and  wdets. 

Modern  American  marine  engines,  boilers, 

and  screw  propellers ; their  design  and  construction. 
Philadelphia,  1881.  4®.  pp.  146.  Plates  and 

wdets. 

1.  Strength  and  Resistanee  of  Materials. 

Allan,  W.  Strength  of  beams  under  transverse 
loads.  New  York,  1875.  18®.  pp.  114.,  Wdets. 

(Van  Nostrand’s  science  series,  19.) 

Barlow,  P.  A treatise  on  the  strength  of  ma- 
terials, with  rules  for  application,  and  an  Appendix 
on  the  power  of  locomotive  engines,  and  the  effect 
of  inclined  planes  and  gradients.  New  ed.,  revised 
by  P.  W.  Barlow  and  \V.  H.  Barlow;  [with]  A 
summary  of  experiments,  by  E.  Hodgkinson,  W. 
Fairbairn,  and  L).  Kirkaldy;  On  the  effect  produced 
by  passing  weights  over  elastic  bars,  by  R.  Willis ; 
Formulae  for  calculating  girders,  etc.  Edited  by  W. 
Humber.  London,  1867.  80.  pp.  xii.,  396. 

Plates  and  zudets. 

Beardslee,  L.  A.  Experiments  on  the  strength 
of  wrought-iron  and  of  chain  cables  ; including  mis- 
cellaneous investigations  into  the  physical  and  chem- 
ical properties  of  rolled  wrought  iron  ; revised  and 
abridged  by  W.  Kent.  New  York,  1879.  80.  pp. 

vi.,  1 19.  Front,  wdets. 

An  abridged  reprint  of  the  report  of  the  committees  of  the  U. 
S.  board  appointed  to  test  iron,  steel,  and  other  metals,  chain 
cables,  malleable  iron,  and  re-heating  and  re-rolling  wrought- 
iron.  The  report  is  contained,  in  lull,  in  United  States — 
House  0/ representatives  : t,^th  Cong.,  -id  sess.  Ex.  docs.,  98. 

Cooper,  Hewitt,  & Co.,  New  York.  [Rules 
and  formulae  relating  to]  rolled  beams,  channels, 
angles,  etc.,  made  by  the  New  Jersey  .Steel  and  Iron 
Co.,  Trenton,  N.  J.  New  York,  1881.  nar.  120. 
pp.  97.  P'ront.  and  zudets.,  and  plate  in  poeket. 

Fairbairn,  W.  On  the  application  of  cast  and 
wrought  iron  to  building  purposes.  New  York, 
1854.  8®.  pp.  viii.,  184. 

Francis,  J.  B.  On  the  strength  of  cast-iron  pil- 
lars, with  tables  for  the  use  of  engineers,  [etc.] 
New  York,  ete.,  1865.  80.  pp.  71. 

From  American  academy  of  arts  and  sciences.  Pro- 
ceedings, vi.,  pp.  403-471. 

Gillmore,  Q.  A.  Report  on  the  compressive 
strength,  specific  gravity,  and  ratio  of  absorption  of 
the  building  stones  in  the  United  States.  New 
York,  1876.  80.  pp.  37. 

Kent,  W.  The  strength  of  materials.  New 
York,  1879.  180.  pp.  139.  Wdets.  (Van  Nos- 

trand’s science  series,  41.) 

Reprinted  from  Van  Nostrand’s  engineering  magaaine. 

Klein,  H Festigkeit  kreisformig  gebogener 
Korper.  Dresden,  1865.  8®.  ff.  (2),  pp.  61. 

Kohlrausch,  F.,  and  F.  E.  Loomis.  Influ- 
ence of  temperature  on  the  modulus  of  elasticity  of 
certain  metals.  [New  Haven,  1870.]  8®.  pp.  17. 

From  the  American  journal  of  science  and  arts,  vol.  1.,  Nov. 
1870. 

Spangenburg,  L.  The  fatigue  of  metals  under 
r.epeated  strains;  with  a preface  by  S.  11.  Shreve. 
New  York,  1876.  180.  pj).  89.  Wdets.  (Van 

Nostrand’s  science  series,  23.) 

Van  Buren,  J.  Investigations  of  formu- 


las for  the  strength  of  the  iron  parts  of  steam  ma- 
chinery. New  York,  1869.  8®.  f.  (i),  pp,  70. 

Weyraucli,  J.  J.  Strength  and  determination 
of  the  dimensions  of  structures  of  iron  and  steel, 
with  reference  to  the  latest  investigations  ; translat- 
ed by  A.  J.  Du  Bois,  with  an  appendix  by  R.  H. 
Thurston.  New  York,  1877.  8^.  pp.  iv.,  ff.  (2), 

pp.  (v.)-xi.,  206,  ff.  (2).  Plates. 

Wood,  De  V.  A treatise  on  the  resistance  of 
materials ; with  an  appendix  on  the  preservation  of 
timber.  New  York,  1871.  80.  pp.  x.,  245,  f.  (i). 

Wdets. 

m.  Tunnels. 

Buck,  J.  H.  VT.  The  construction  of  large  tun- 
nel shafts  ; a practical  and  theoretical  essay.  Lon- 
don, 1880.  8®.  pp.  vi.,  54.  Plates. 

Massachusetts — Commissioner  on  the  Troy  and 
Gi'eenfield  raibvad  and  Hoosae  tunnel.  Report. 
(1866-69.)  Boston,  1867-69.  3 V.  8®. 

Senate:  Committee  on  the  Hoosae  tunnel 

and  Troy  and  Greenfield  railroad.  Report.  1866. 
Boston,  1867.  80. 

Rziha,  F.  Lehrbuch  der  gesammten  Tunnel- 
baukunst.  2®  Aufl.  Berlin,  1874.  2 v.  4®.  Plates 

and  zudets. 

Co7itents : — i.  Die  Arbeiten  der  bergmannischen  Gewin- 
nung.  — Forderung  der  Berge.  — Bergmannische  Zimmerungs- 
lehre.  — ii.  Die  Tunnel-Holtzbausysteme.  — Tunnelniauenmg. 
— Tunnel- Eisenbausysteme.  — Briiche  bei  Tunnelbauten.  — 
Aligemeine  Anlagen  und  Vorkehrungen.  — Projektirung  und 
Ausfiihrung  der  Tunnelbauten.  — Baukosten. 

Shute,  J.  M.  Rejected  papers  in  relation  to  the 
Hoosae  tunnel.  Boston,  1868.  8®.  pp.  22. 

Finite  Differences 

(including  Factorials  and  Interpolation). 

{See  also  Calculus,  Functional  Equations, 
and  Series. 

Bartlett,  W.  P.  G.  On  certain  forms  of  inter- 
polation. [Boston,  1862.]  4®.  pp.  435-443. 

From  the  Memoirs  of  the  American  academy  of  arts  and  sci- 
ences. 

Boole,  G.  A treatise  on  the  calculus  of  finite 
differences;  edited  by  J.  F,  Moulton.  3d  ed.  Lon- 
don, 1880.  8®.  pp.  xii.,  336. 

Crelle,  A.  L.  Versuch  einer  allgemeinen  The- 
orie  der  analytischen  Facultiiten,  nacli  einer  neuen 
Entwickelungs-Methode.  Berlin,  1825.  8®.  pp. 
X.,  f.  (i),  pp.  396. 

Contents  : — Potenzen,  I.og.arithmen  und  Exponential-Gross- 
en.  — Facultiiten.  — Die  rheorie  der  Winkel-Functionen. 

Emerson,  W.  The  arithmetic'of  infinites,  and 
the  differential  method.  London,  1767.  8®.  pp. 
4,  44.  Plate. 

Bd.  with  his  “Conic  sections.” 

The  method  of  increments,  wherein  the 

principles  are  demonstrated  and  the  practice  thereof 
shown  in  the  solution  of  problems,  London,  1763. 
4®.  pj).  viii.,  147. 

ltd.  with  Simpson’s  “Mathematical  dissertations.” 

Herschel,  Sirl.  F.  W.  A collection  of  exam- 
ples of  the  applications  of  the  calculus  of  finite  dif- 
ferences. Cambritlge,  1820.  8®.  pp.  iv.,  f.  (i), 

PP-  17D 

A supplementary  volume  to  Lacroix’s  “ Differential  and  inte- 
gral calculus,”  tr.  by  Peacock  and  IIer.schel. 

Lacroix,  S.  F.  'Praite  des  differences  et  de.s 
series;  faisant  suite  au  d'raite  du  calcul  differenliel 
et  du  calcul  integral.  I’aris,  An.  viii.,  (1800).  4®, 

f.  (l),  j)p.  viii.,  582.  Plate. 

Oettinger,  L.  Die  Lehre  von  den  aufsleigeii- 
den  Functionen,  nebst  einer  auf  sie  gegiundeten 


46 


. WOJ^KS  RELA  TING  TO  MA  THEM  A TICS. 


Summenrechnung  fiir  Reihen,  oder  Integral-Calcul 
mit  endlichen  Differenzen.  Berlin,  1836.  40.  pp. 

X.,  312. 

Contents  : — Aufstufungen  der  einfachen  Functionen.  — Un- 
terschiede  der  einfachen  Functionen. — Aufstufungen  der  zu- 
sammengesetzten  Functionen.  — Unterschiede  und  Abstufung- 
en  der  zusammengesetzten  Functionen. — Summenrechnung 
fur  einfache  Reihen.  — Summenrechnung  fiir  zusammengesetzte 
Reihen. — Summenrechnung  fur  einfache  und  zusammenge- 
setzte Reihen  mittelst  der  Differenziale  und  Integrale. 

From  Crelle’s  Journal  fiir  Mathematik,  xi.-xvi. 

Schaeffer,  W.  De  facultatibus.  — Diss.  inaug. 
Berolini,  [1837].  40.  pp.  27+. 

Schlomilch,  O.  Theorie  der  Differenzen  und 
Summen.  Halle,  1848.  80.  ff.  (3),  pp.  241-f-. 

Uylenbroek,  P.  J.  Commentatio  de  methodo 
interpolandi.  Lugduni  Batavorum,  1821.  40.  f. 

(i),  pp.  7^.  Plate. 

FuncTtions. 

{^See  also  Calculus.) 

Kruse, • Einiges  aus  der  Theorie  der  Func- 
tionen. Berlin,  1863.  40.  pp.  28. 

Ramus,  C.  Tentamen  de  functionum  formis, 
originibus  et  variationibus.  Hauniae,  [1833  ?].  4°* 

f.  (I),  pp.  28,  f.  (I). 

"Worpitzky,  . Beitrage  zur  Functionen- 

theorie.  Berlin,  1870.  40.  f.  (i),  pp.  22. 

a.  Symtfietric  Functions. 

{See  also  Algebra.) 

Lotz,  J.  F.  De  functionibus  symmetricis.  — 
Diss.  inaug.  Hanoviae,  1844.  40.  f.  (i),  pp.  38. 

Schbn,  [J.  J.  ?]  Ueber  die  Multiplication  der 
symmetrischen  Functionen,  nebst  einigen  damit  zu- 
sammenhangenden  analytischen  Satzen.  Aachen, 
1831.  40.  pp.  xvi. 

b.  Circular  and  Hyperbolic  Functions. 

Dittrich, . Ueber  symmetrische  Functionen 

der  Cosinus  aliquoter  Theile  von  Tt.  Breslau,  1863. 
40.  f.  (i),  pp.  xxxvi. 

Jolly,  P.  (G.)  De  Euleri  meritis  de  functionibus 
circularilDus,  praecedit  historia  functionum  circula- 
rium  usque  ad  Eulerum  continuata.  Heidelbergae, 
1834.  40.  pp.  vi.,  32. 

Laisant,  C.  A.  Essai  sur  les  fonctions  hyper- 
boliques.  Paris,  1874.  8®.  ff.  (2),  pp.  lOO. 

Ley,  J.  F.  Beitrage  zur  Entwickelung  der  c^- 
clischen  Functionen.  Koln,  [1865].  40.  pp.  24. 

Plate. 

c.  Bessels  and  Allied  Functions. 

Neumann,  C.  Theorie  der  BessePschen  Func- 
tionen ; ein  Analogon  zur  Theorie  der  Kugelfunc- 
tionen.  Leipzig,  1867.  8®.  pp.  viii.,  72. 

Todhunter,  I.  An  elementary  treatise  on  La- 
place’s functions.  Lamp’s  functions,  and  Bessel’s 
functions.  London,  1875.  8°.  pp.  viii.,  348. 

d.  Elliptic  Functions. 

Bertram,  (H.)  Ueber  die  Flachen,  welche  den 
Verlauf  der  elliptischen  Functionen  versinnlichen 
konnen.  Berlin,  1861.  4".  f.  (i),  pp.  28.  Plates. 

Biermann,  W.  G.  A.  Problemata  quaedam 
mechanica  functionum  cllipticarum  ope  soluta. — 
Diss.  inaug.  Berolini,  [1865].  8®.  pp.  36. 

Legendre,  A.  M.  Exercises  de  calcul  integral 
sur  divers  ortlres  de  transcendantes,  et  sur  les  quad- 
ratures. Paris,  1811,  ’17,  ’16.  3 V.  4”.  Plates. 

Contents:  — i.  Dcs  fonctions  ciliptiques.  — Des  int6grales 


Euleriennes.  — ii.  [Les  propriety  de  la  fonction  F.  — Le  deve- 
loppement  des  fonctions  en  series.  — Les  applications  des  fono 
tions  elliptiques  a la  mechanique.]  — iii.  Construction  des  tables 
elliptiques. 

Mmcker, Entwickelung  des  Integrales 

j X i/a4  4-  OLx^  -{-d  \dx 

in  geschlossenem  Ausdruck.  Meiningen,  1838.  40. 
f.  (I),  pp.  13. 

Mdllmann,  B.  Die  geometrische  Bedeutung 
des  Differentials  dx 

V i—ls^sin^x’ 

Rostock,  1869.  40.  f.  (i),  pp.  15. 

Muller,  H.  F.  De  transformatione  functionum 
ellipticarum. — Diss.  inaug.  Berolini,  [1867].  40. 

ff.  (2),  pp.  25. 

Rothig,  J.  W.  O.  De  quibusdam  generibus  in- 
tegralium  ellipticorum.  — Diss.  inaug.  Berolini, 
[1857].  40.  ff.  (2)-,  pp.  15. 

Seegers,  K.  Zur  Theorie  der  elliptischer  Func- 
tionen. Insterburg,  1869.  40.  pp.  19-26. 

Tagert, . Beweis  der  von  Jacobi  gegebenen, 

die  Zerlegung  elliptischer  Functionen  in  unendliche 
Producte  betreffenden  Formeln;  Nachtrag:  Be- 
rechnung  einiger  hyperbolischer  Logarithmen  bis 
auf  100  Decimalstellen.  Coeslin,  i860.  40.  f.  (i), 

pp.  10. 

Verhulst,  P.  F.  Traits  eldmentaire  des  fonc- 
tions elliptiques;  suite  aux  trait^s  elementaires  de 
calcul  integral.  Bruxelles,  1841.  80.  ff.  (2),  pp. 

xii. ,  316.  Plate. 

e.  Abelian  Functions. 

Briot,  C.  Theorie  des  fonctions  ab^liennes. 
Paris,  1879.  4®-  PP*  ^ix.,  181. 

Clebsch,  A.,  und  P.  Gordan.  Theorie  der 
Abelschen  Functionen.  Leipzig,  1866.  8®.  pp. 

xiii. ,  333* 

Meyer,  J.  T.  De  transformatione  functionum 
ultraellipticarum.  — Diss.  inaug.  Regiomonti, 
[1866].  4®.  pp.  27. 

Netto,  E.  De  transformatione  aequationis  y^— 
R{x),  designante  7^(x)  functionem  integram  ration- 
alem  variabilis  x,  in  aequationem  rf^=Ri{^). — Diss. 
inaug.  Berolini,  [1870].  4®.  pp.  20. 

Neumann,  C.  Vorlesungen  uber  Riemann’s 
Theorie  der  Abel’schen  Integrale.  Leipzig,  1865. 
8®.  pp.  xiv.,  514.  Plate. 

Riemann,  (C.  P.)  B.  Theorie  der  Abel’schen 
Functionen.  Berlin,  1857.  4®.  ff.  (2),  pp.  55. 

From  Crelle’s  Journal  fiir  Mathematik. 

Rosenhain,  J.  G.  Exercitationes  analyticae  in 
theorema  de  integralibus  functionum  algebraicarum. 
Vratislaviae,  [1844].  4®.  ff.  (2),  pp.  16,  f.  (i). 

f.  Ftmctional  Equations  atid  Calculus  0/ Functions. 

Babbage,  C.  Examples  of  the  solutions  of  func- 
tional equations.  [Cambridge,  1820. ] 8®.  ff.  (2), 

pp.  42.  Plate. 

Supplementary  to  Herschel’s  “Examples  of  the  application 
of  calculus,’’  with  which  it  is  bd. 

De  Morgan,  A.  A treatise  on  the  calculus  of 
functions  ; (extracted  from  the  Encyclopaedia  metro- 
politana).  London,  1836.  4®.  f.  (i),  pp.  88. 

Lettered  “ Mathematical  tracts.’’ 

Herapath,  J.  On  the  complete  solution  of  cer- 
tain functional  equations.  [London,  1824.]  8®. 

pp.  197-200. 

“ Mathematical  pamphlets.’’  “From  the  Philo- 
sophical magazine,  Sep.,  1824.’’ 

On  the  conditions  of  possibility,  arbitrary 

functions  and  complete  solutions  of  periodical  func- 


CORNELL  UNIVERSITY 


47 


tional  equations.  [London,  1825  J.  8®.  pp. 
102-108. 

“ Mathematical  pamphlets.”  Philosophical  maga- 
zine, lx.,  328. 

Herapath,  J.  On  the  solution  of  tp^x=x. 
[London,  1824].  80.  pp.  16. 

“ Mathematical  pamphlets.”  From  the  Annals  of 

philosophy. 

On  the  transformation  of  the  solutions  of  a 

eriodical  functional  equation.  [London,  1824.] 
PP-  333-339- 

Lettered  “ Mathematical  pamphlets.”  Philosophical  maga- 
zine, Ixiv.,  319. 

Geometry. 

{See  also  Ancient  and  Oriental  Authors.) 

a.  Elementary  and  Miscellaneous. 

Adhemar,  J.  Trait^s  de  geometrie  et  de  trigo- 
nometrie.  2®  6d.  Paris,  1880.  8®,  and  Atlas  of 

plates. 

Amiot,  A.  Elements  de  geometrie,  r^diges 
d’apr^s  le  nouveau  programme  de  I’enseignement 
scientifique  des  lycees ; suivis  d’un  complement. 
5®  ed.  Paris,  [1859?].  8®.  f.  (i),  pp.  vii.,  394. 

Angel,  H.  Practical  plane  and  solid  geometry. 
New  York,  1873.  16®.  pp.  182.  (Putnam’s  ele- 

mentary science  series,  i.) 

Angeli,  S.  degli.  De  infinitis  parabolis,  de  in- 
finitisqve  solidis  ex  varijs  rotationibus  ipsarum,  par- 
tiumque  earundem  genitis.  [Libri  iv.]  Venetiis, 
1659.  4®.  ff.  (10),  pp.  408. 

Another  copy  bd.  with  his  ” Problemata  geometrica.” 

De  infinitis  parabolis.  Liber  v. — Opvs- 

cvlvm  geometricvm.  Venetiis,  1663.  4®.  ff.  (6), 

pp.  108. 

Bd.  with  the  preceding. 

August,  E.  F.  Construction  der  regelmassigen 
Korper  nach  einer  fiir  alle  ubereinstimmenden 
Methode.  Berlin,  1854.  4®.  pp.  8.  Plate. 

Bertrand,  L.  fil^mens  de  g^om^trie.  Paris, 
1812.  4®.  f.  (i),  pp.  viii.,  326,  f.  (i).  Plates. 

Bonnycastle,  C.  Inductive  geometry;  or.  An 
analysis  of  the  relations  of  form  and  magnitude. 
Charlottesville,  Va.,  i-Zr.,  1834.  8®.  pp.  xxvi.,  63i-|-- 

Bradbury,  W.  F.  An  elementary  geometry 
and  trigonometry.  Boston,  [1872.].  8®.  pp.  iv., 

f.  (i),  pp.  no,  06,  62. 

Cavalieri,  B.  Geometria  indivisibilibvs  con- 
tinvorvm  noua  quadam  ratione  promota.  Bononite, 
1635.  4®.  ff.  (8),  pp.  128,  123,  III,  99,  80,  71,  80. 

Same.  Postrema  ed.  Bononiie,  1653.  4®. 

ff.  (8),  pp.  543. 

Chauvenet,  W.  A treatise  on  elementary  ge- 
ometry ; with  appendices  containing  a collection  of 
exercises  for  students  and  an  introduction  to  modern 
geometry.  Philadelphia,  1870.  8®.  pp.  368. 

Cirodde,  P.  L.  Lemons  de  gdometrie,  suivies 
de  notions  ^lementaires  de  geometrie  descriptive. 
2®  ^d.  1‘aris,  1844.  8®.  f.  (i),  pp.  444,  f.  (i). 

Plates. 

Clairaut,  A.  C.  fil^mens  de  geometrie.  Nouv. 
61.  I’aris,  1830.  8®.  jip.  xxii.,  185.  Plates. 

Compagnon,  P.  F.  Elements  de  g6om6trie. 
2®  ed.  Paris,  1876.  8®.  pp.  xi.,  516. 

Crosby,  A.  First  lessons  in  geometry;  upon 
the  model  of  Colburn’s  First  lessons  in  Arithmetic ; 
with  an  introduction  by  S.  Chase.  Boston,  1847. 
pp.  164.  Plates. 

Davies,  C.  Elements  of  geometry  and  trigo- 


nometry, with  applications  in  mensuration.  New 
York,  1868.  12®.  pp.  [3]-262,  62. 

Same.  New  York,  1871.  12®.  pp.  [3]- 

262,  62. 

Duncan,  T.  Supplement  to  Playfair’s  Geometry 
and  Wood’s  Algebra,  completing  a course  of  mathe- 
matics. Edinburgh,  1822.  8®.  pp.  xi.,  ff.  (2),  pp. 

846.  Plates. 

Emerson,  W.  The  elements  of  geometry;  to 
which  is  added  a collection  of  geometrical  problems. 
London,  1763.  pp.  viii.,  183.  Plates. 

Bd.  with  his  “Arithmetic.” 

Evans,  E.  W.  Primary  elements  of  plane  and 
solid  geometry.  Cincinnati,  [cop.  1862].  12®. 

pp.  102. 

Fergola,  N.  Della  invenzione  geometrica ; 
opera  postuma;  ordinata,  compiuta,  e corredata  di 
note  da  V.  Flauti.  Napoli,  1842.  1.  8®.  pp.  Ivi., 

283.  Plates. 

Contents: — De’  dati.  — De'  quesiti  de'  problemL  — Dell’  an- 
alisi  geometrica.  — Appendice. 

Finseus,  or  Fineus  {French  Fine),  O.  De  re 
& praxi  geometrica,  Libri  tres,  figuris  & demonstra- 
tionibus  illustrati.  Vbi  de  Quadrato  geometrico,  & 
virgis  seu  baculis  mensoriis,  nec  non  aliis  cum  math- 
ematicis,  turn  mechanicis.  Parisiis,  1586.  4®.  ff. 

(4),  pp.  118. 

Finke,  or  Finck,  T.  Geometriae  rotvndi  Li- 
bri xiiii.  Basileae,  1583.  4®.  ff.  (8),  pp.  406,  f.  (i). 

Lettered  “Geestevelt” 

Gamier,  J.  G.  Les  rdciproques  de  la  geome- 
trie ; suives  d’un  recueil  de  probl^mes  et  de  th6o- 
remes,  et  de  la  construction  des  tables  trigonome- 
triques.  Paris,  1807.  8®.  pp.  viii.,  199+,  f.  (i). 

Plates. 

Greenleaf,  B.  Elements  of  geometry ; with 
practical  applications  to  mensuration.  Electrotype 
ed.  Boston,  etc.,  1869.  12®.  pp.  320. 

Hackley,  C.  W.  Elementary  course  of  geome- 
try. New  York,  1847.  12®.  pp.  xi.,  103,4,  7,  15, 

7,  20,  18,  2,  f.  (i),  pp.  10,  15,  13. 

The  irregular  pagination  is  that  of  the  appendices. 

Same.  New  York,  1851.  12®. 

Hassler,  F.  R.  Elements  of  the  geometry  of 
planes  and  solids.  Richmond,  Va..  1828.  8®. 

PP-  *59-|-:-  Plates. 

'I'wo  copies. 

Hermes,  O.  Vom  Pascalschen  Sechseck.  [Ber- 
lin, 1854.]  4®.  pp.  [9]-2i. 

Appended  to  August’s  “Construction  der  regelmassigen 
Korper.” 

Hill,  T.  A second  book  of  geometry.  Boston, 
1863.  12®.  pp.  136.  Plate. 

Hirschvogel,  A.  Ein  aigentliche  vnd  grundt 
liche  anweysung,  in  die  Geometria,  sonderlich  aber, 
wie  alle  Regulierte,  vnd  Vnregulierte  Cori)ora,  in 
den  grundt  gelegt,  vnd  in  das  Perspecktiff  gebracht, 
aiich  init  jren  Linien  auffzogen  sollen  werdcn. 
[Nurnberg],  1543.  sm.  4®.  ff  (3*)-  Plates. 

'I  he  engraved  t.-p.  of  the  plates  commences  thus: 

GKOMKTKIA. 

Das  bveh  geometria  ist  mein  namen 

All  freye  kvnst  avs  mir  zuin  ersten  kamen 

Ich  bring  architectvra  vnd  perspectiva  zvsamen. 

Jacobi,  C.  F.  A.  Geometrische  Lchrsiitze  Auf- 
gaben  aus  den  Anhangen  zu  van  Swinden’s  Elemen- 
ten  der  Geometrie;  herausgegeben  von  A.  Wiegand. 
Halle,  1847.  2 V.,  1x1.  in  i.  8®.  Plates. 

Lettered  “ I.ehrsatze  und  Aufgaben.” 

Joachimsthal,  F.  Cours  de  geomdtrie  d-ldmen- 
taire.  Berlin,  1852.  8®.  f.  (i),  jtp.  94.  Plates. 

Joanet,  J.  Annotation  a la  geometric  61emen- 
taire  de  Legendre.  Paris,  1845.  8®.  pp.  56. 


48 


WORKS  RELA  TING  TO  MA  THEM  A TICS. 


Klein,  H.  Leitfaclen  zu  den  Elementen  der 
Geometric.  Dresden,  i86i.  8®.  f.  (i),  pp.  Ii6. 

Plate. 

Lacroix,  S.  P.  Elements  de  geometrie.  i8e 
ed.,  [redigee]  par  [E.]  Prouhet.  Paris,  1863.  80. 

pp.  xxiv.,  21 1. 

Same.  21®  ed.  Paris,  1880.  8®. 

Legendre,  A.  M.  Elements  de  geometrie,  avec 
des  notes  [et  un  Traite  de  trigonometrie].  14®  ed. 
Paris,  i860.  8®.  fF.  (3),  pp.  431.  Plates. 

Same ; avec  additions  et  modifications  par 

M.  [P].  A.  Blanchet.  ii®  ed.  Paris,  1868.  8®. 

f.  (I),  pp.  ii.,  280. 

Elements  of  Geometry;  translated  by  J. 

b'arrar.  New  ed.,  enlarged.  Boston,  1838.  8®. 

pp.  XV.,  235.  Plates. 

Same ; with  additions  and  modifications 

by  M.  [P].  A.  Blanchet;  translated  from  the  lith 
French  ed.  by  F.  H.  Smith.  Baltimore,  1867.  8®. 

pp.  312. 

Elements  of  geometry  and  trigonometry; 

adapted  to  the  United  States  by  C.  Davies.  New 
York,  1868.  8®.  pp.  259,  134,  62. 

Same.  New  York,  1871.  g®.  pp.  259, 

134,  62. 

Loomis,  E.  Elements  of  geometry  and  conic 
sections.  New  York,  1847.  8®.  pp.  222. 

Same.  28th  ed.  New  York,  1868.  12®. 

pp.  234. 

Elements  of  geometry,  conic  sections,  and 

plane  trigonometry.  Revised  ed.  New  York,  1873, 
12®.  pp.  388. 

Liibsen,  H.  B.  Ausfiihrliches  Lehrbuch  der 
Elementar-Geometrie : Ebene  und  korperliche  Ge- 
ometrie. 10®  unveranderte  Aufl.  Leipzig,  1867. 
8®.  ff.  (2),  pp.  177. 

Malton,  T.  The  new  royal  road  to  geometry, 
and  familiar  introduction  to  the  mathematics.  Lon- 
don, 1793.  2 V.  bd.  in  I.  8®.  Plates. 

Contents:  — i.  Euclid  (1-6,  11,  12). — Mensuration. — ii. 
Practical  geometry’.  — Appendix. 

Marie,  M.  Petit  cours  m^thodique  de  geome- 
trie experimentale  pour  les  ecoles  primaires.  Paris, 
[187-].  obi.  8®.  Plates  yC\\.,  (2),  with  descriptive 
text. 

[Morton,  P.]  Geometry,  plane,  solid,  and 
spherical;  [with]  The  theory  of  projection,  auxil- 
iary to  geometry;  [and]  The  plane  sections  of  the 
cone  and  cylinder.  London,  1830.  8®.  pp.  viii., 

272.  (Soc.  for  the  diffusion  of  useful  knowl- 
edge. Library  of  useful  knowledge.  Mathemat- 
ics, ii.) 

Newman,  F.  W.  The  difficulties  of  elementary 
geometry,  especially  those  which  concern  the  straight 
line,  the  plane,  and  the  theory  of  parallels.  Lon- 
don, 1841.  8®.  ff.  (2),  pp.  143. 

Olney,  E.  A treatise  on  special  or  elementary 
geometiy.  University  ed.  New  York,  1873. 
pp.  xii.,  327. 

lid.  with  Ills  “Trigonometry.” 

Pagan,  B.  F.,  comte  de.  Les  dix  livres  des 
theoremes  geometriqves.  Donnez  pour  Supple- 
ment des  Sciences  Mathematiques.  Paris,  1654. 

8->.  IT.  (7),  pp.  475+.  f- (>)• 

Peirce,  B.  An  elementary  treatise  on  plane  and 
solifl  geometry.  Stereotype  ed.  Boston,  ir/r.,  1855. 
12®.  pp.  xix.,  [3]-! 50.  Plates. 

Perkins,  G.  R.  Plane  and  solid  geometry; 
[with]  plane  and  spherical  trigonometry  and  men- 


suration, [and]  tables.  New  York,  etc.,  1869.  • pp. 

vii. ,  235,  f.  (i),  pp.  124,  84. 

Playfair,  J.  Elements  of  geometry;  containing: 
The  first  six  books  of  Euclid,  The  quadrature  of  the 
circle,  The  geometry  of  solids.  Elements  of  plane 
and  spherical  trigonometry.  New  ed.,  remodelled 
by  J.  Ryan.  New  York,  1836.  f.  (i),  pp.  [vii.]- 

viii. ,  f.  (1),  pp.  3ii-{-. 

Sa??te.  From  the  last  London  ed.,  en- 

larged.  Philadelphia,  1855.  8®.  ff.  (2),  pp.  317. 

Same ; with  additions  by  W.  Wallace. 

loth  ed.,  re-arranged  by  P.  Kelland.  Edinburgh, 
etc.,  1846.  8®.  pp.  XV.,  306. 

Reynolds,  E.  M.  Modern  methods  in  elemen- 
tary geometry.  London,  etc.,  1868.  8®.  pp.  vii., 

112. 

Rouche,  E.,  et  C.  de  Comberousse.  Ele- 
ments de  geometrie;  suivis  de  Notions  sur  le  lever 
des  plans  et  I’arpentage.  Paris,  1867.  8®.  pp. 

xi.,  442. 

Schuyler,  A.  Elements  of  geometry ; with  ex- 
ercises, and  an  introduction  to  modern  geometry. 
Cincinnati,  etc.,  [1876].  12®.  pp.  372. 

Serret,  P.  Des  methodes  en  geometrie.  Paris, 
1855.  8®.  pp.  XV.,  144. 

Sestini,  B.  Elements  of  geometry  and  trigo- 
nometry. Baltimore,  1856.  8®.  pp.  303,  62. 

Simpson,  T.  Elements  of  plane  geometry ; 
[with]  The  maxima  and  minima  of  geometrical 
quantities,  Regular  solids,  Mensuration,  [and]  Prob- 
lems. London,  1747.  8®.  pp.  v.-}-,  193. 

Bd.  with  Muller’s  “New  system  of  mathematics.”  Lettered 
“ Muller  & Simpson.” 

Smith,  Seba.  New  elements  of  geometry. 
New  York,  1850.  8®.  pp.  200. 

Contents: — Philosophy  of  geometry.  — Demonstrations  in 
geometry.  — Harmonies  of  geometry. 

Claims  a solution  of  the  quadrature  of  the  circle. 

Same.  London,  1850.  8®.  pp.  200. 

Stanley,  A.  D.  An  elementary  treatise  of  spher- 
ical geometry  and  trigonometry.  Revised  ed.  New 
Haven,  n.  d.  12®.  pp.  122. 

Tappan,  E.  T.  Treatise  on  geometry  and  trig- 
onometry ; for  the  Mathematical  course  of  J.  Ray. 
Cincinnati,  [cop.  1868].  8®.  pp.  420. 

Treatise  on  plane  and  solid  geometry ; for 

the  Mathematical  course  of  J.  Ray.  Cincinnati, 
[cop.  1864].  12®.  pp.  276. 

Torelli,  G.  De  nihilo  geometrico.  Libri  ii. 
Verona,  1758.  8®.  pp.  117. 

[Wells,  E.  The  young  gentleman’s  geometry; 
containing  such  elements  of  geometry  as  are  most 
useful  and  easy  to  be  known.  London,  1 723  ?]  8®. 

ff.  (2),  pp.  173-294,  f.  (i).  Plates. 

Extracted  from  his  “Young  gentleman’s  course  of  mathe- 
maticks,”  and  bound  separately.  Lacks  title-page. 

Whitlock,  G.  C.  Elements  of  geometry,  theo- 
retical and  practical;  containing  [an]  Explanation 
of  the  construction  and  use  of  tables,  and  A new 
system  of  surveying.  New  York,  1849.  8®.  pp. 

324- 

Wiegand,  A.  Volksschulbuch  der  Elemente 
der  Geometrie  und  deren  praktischer  Anwendung. 
2®  Aufl.  Halle,  i860.  8®.  pp.  viii.,  112. 

Young,  J.  R.  Elements  of  geometry;  with 
notes.  London,  1827.  8®.  pp.  x.,  208. 

.Same ; revised,  with  additions,  by  M.  Floy, 

jr.  New  ed.  Philadelphia,  1835.  8®.  pp.  vii., 

216. 

Same.  Philadelphia,  1848.  8®.  pp.  vii.^ 

216. 


CORNELL  UNI  VERS  I T K 


49 


1.  Plane  Geo7netry. 

Baur,  C.  W.  Trigonometrische  Analysen  ge- 
ometrischer  Aufgaben.  Ulm,  [1849].  40.  pp.  22. 

Plate. 

Huberdt,  A.  Lehrbuch  der  ebenen  Geometric, 
nebst  vielen  Aufgaben.  Berlin,  1841.  8®.  pp.  xii., 

210,  f.  (i).  Plates. 

Ibach,  F.  Elements  of  plane  geometry.  Phila- 
delphia, [1882].  120.  pp.  196.  (Butler’s  series 

of  mathematics.) 

Leslie,  J.  Geometrical  analysis,  and  geometry 
of  curve  lines ; being  vol.  ii.  of  a Course  of  math- 
ematics, and  designed  as  an  introduction  to  the 
study  of  natural  philosophy.  Edinburgh,  1821.  8®. 

pp.  ix.,  448.  Plates. 

Rogg,  (I.).  Geometrische  Analysis  nach  der 
Methode  der  Griechen.  Stuttgart,  [1847].  80. 

f.  (i),  pp.  64.  Plates. 

[Schnabel,  (C.?).]  Die  Fundamentalsatze  der 
allgemeinen  Arithmetik  in  systematischer  Zusam- 
menstellung.  i^Abth.  Siegen,  1866.  8®.  pp.  39. 

Conte/its:  — i.  Die  4 Species  der  Buchstabenrechnung  u 1 
die  algebraischen  Gleichungen  des  i.  Grades. 

Schoeder,  P.  Synopsis  of  mathematics.  Pt.  i. 
New  York,  1877.  8®.  pp.  viii.,  48.  Plates. 

Co7ite7tts  : — Plane  geometiy  systematically  and  genetically 
arranged. 

Wiegand,  A.  Erster  Cursus  der  Planimetrie. 
9«  Aufl.  Halle,  1870.  80.  pp.  viii.,  86.  (/«  his 

Lehrbuch  der  Mathematik.) 

Same.  Zweiter  Cursus.  8®  Aufl.  Halle, 

1871.  80.  pp.  vi.,  f.  (i),  pp.  104. 

Same.  Dritter  Cursus.  2®  Aufl.  Plalle, 

1871.  8®.  ff.  (3),  pp.  69.  Plates. 

The  above  3 v.  bd.  in  one. 

Wolf,  R.  Die  Lehre  von  den  geradlinigen  Ge- 
bilden  in  der  Ebene.  2®  Ausg.  Bern,  etc.,  1847. 
8®.  pp.  vi.,  155. 

Ximenes,  L.  I sei  primi  elementi  della  geomet- 
ria  piana.  Venezia,  1752.  8®.  pp.  xxxii.,  354. 

Plates. 

2.  Solid  Geometry. 

Fahland,  H.  Anfangsgriinde  der  Stereometric. 
Miihlhausen,  1863.  4®.  pp.  18.  Plate. 

Grebe,  E.  W.  Bemerkimg  iiber  die  Berech- 
nung  des  i’rismatoids.  Cassel,  1866.  f.  (i),  pp.  4. 

Leuzinger, . Einige  Aufgal)en  und  l.ehr- 

satze  aus  der  niedern  und  hohern  Stereometric  fur 
practische  Zwecke.  Coblenz,  1849.  4®.  f.  (i), 

pp.  40.  Plate. 

Vlviani,  V.  De  locis  solidis  secuuda  divinatio 
geometrica  in  quinc[ue  libros  iniuria  tempora  amissos 
Aristoei  senioris  geometrte.  Elorenlite,  [1701]. 
1.  4®.  ff.  (12),  pp.  164,  128.  Port,  and  plates. 

Wiegand,  A.  l.ehrbuch  der  Stereometric  und 
spharischen  Trigonometric.  6®  Aufl.  Halle,  1871. 
8®.  pp.  X.,  130.  (/«  his  Lehrbuch  der  Malh- 

ematik.) 

b.  Analytic  Geometry 

{including  Curves  and  Surfaces  0/  the  second  Order). 

{See  also  Calculus.) 

Agnesi,  M.  G.  Analytical  institutions ; trans- 
lated byj.  Colson;  [edited  by]  J.  Hellins.  Lon- 
don, 1^80  i.  2 V.  4®. 

Co/it,e/its  : — i.  Analysis  of  finite  quantities.  — ii.  Analysis  of 
quantities  infinitely  small.  — Integral  calculus. — The  inverse 
method  of  tangents. 

Belanger,  J.  B.  (C.  J.).  R^sumd  de  le9ons  de 
geoinetrie  analytique  ct  de  calcul  infinitesimal.  2® 
Baris,  1859.  8®.  pp.  xd.,  295.  Plates. 


Berner,  T.  (M. ).  De  transformatione  secundi 
ordinis  ad  figuras  geomctricas  adhibita. — Diss.  inaug. 
Berolini,  [1865].  4®,  pp.  234-. 

Biot,  J.  B.  Essai  de  gt^om^trie  analytique,  ap- 
pliquee  aux  courbes  et  aux  surfaces  du  second  ordre. 
6®  ed.  Paris,  1823.  8®.  pp.  xii.,  447.  IHates. 

Boset,  A.  Traite  de  geometric  analytique  pre- 
cede des  elements  de  la  trigonometric  rectiligne  et 
de  la  trigonometric  spherique.  Paris,  1878.  8®. 

ff.  (2),  pp.  ii.,  706. 

Boucharlat,  J.  L.  Theorie  des  courbes  et  des 
surfaces  du  second  ordre;  ou,  Traite  complet  d’ap- 
plication  de  I’algebre  a la  geometric.  3®  ed.  Paris, 
1845.  f.  (i),  pp.  xxii.,  524.  Plates. 

Bourdon,  P.  L.  M.  Application  de  Palgebre  i 
la  geometric,  comprenant  la  geometric  analytique  a 
deux  et  a trois  dimensions.  5®  ed.  Paris,  1854. 
8®.  pp.  XX.,  546.  Plates. 

Sanie.  9®  ed.,  revue  et  annotee  par  G. 

Darboux.  ‘Paris,  1880.  8®.  pp.  xviii.,  f.  (i),  pp. 

648.  Plates. 

Brandes,  C.  G.  H.  De  chordis  linearum  et 
superficierum  secundi  gradus.  Lipsioe,  1841.  4®. 

f.  (i),  pp.  25-f-.  Plate. 

Briot,  (C.),  et  (F.)  Bouquet.  Lemons  de 
geometric  analytique.  0®  ed.  Paris,  1868.  8®. 

ff.  (2),  pp.  544. 

Cauchy,  A.  L.  Legons  sur  les  applications  du 
calcul  infmitesimal  a la  geometric.  Paris,  1826. 
2 V.  in  I.  4®. 

Contents:  — i.  Applications  du  calcul  differentiel. — ii.  Cal- 
cul inhnitesinial. 

Vorlesungen  uber  die  Anwendungen  der 

Infmitesimalrechnung  auf  die  Geometric;  deutsch 
bearbeitet  von  C.  H.  Schnuse.  Braunschweig,  1840. 
8®.  pp.  xiii.,  f.  (i),  pp.  428,  ff.  (2). 

Same.  Zusiitze.  Braunschweig,  1846.  8®. 

PP-  75-. 

Bd.  with  the  preceding. 

Church,  A.  E.  Elements  of  analytical  geome- 
try. 3d  ed.  New  York,  1867.  8®.  pp.  ix.,  297. 

Sa/ne.  New  York,  1870.  8®.  pp.  ix.,297. 

Davies,  C.  Elements  of  analytiaxl  geometry; 
embracing  the  ecpiations  of  the  i)oint,  the  straight 
line,  the  conic  sections,  and  surfixces  of  the  first  and 
second  order.  Revised  ed.  New  York,  1870.  12®. 

pp.  352. 

Delisle,  (A.),  et  (C.  C.)  Gerono.  G^omd- 
trie  analytique.  Paris,  1854.  8®.  pp.  xxiv.,  598. 

Plates. 

Garnier,  J.  G.  Geomdtrie  analytique ; ou,  Ap- 
Iilication  de  Palgebre  i la  geomdtrie.  2®  ed.  Paris, 
1813.  8®.  pp.  vi.,  f.  (i),  pp.  448,  f.  (i). 

Grandtner,  O.  Die  I'demcnte  der  analytische 
Geometric.  Minden,  1862.  8®.  pp.  44.  Plate. 

Guinodie,  R.  'Prait6  d’application  tie  l’alg6bre 
a la  geometric  a deux  et  a trois  dimensions.  1‘aris, 
1858.  4®.  f.  (i),  p]).  ii.,  318.  Plates. 

'J  he  author  signs  himself  “R®  [RayinoiidJ  Guinodie  fils  aiii6.” 

Howisou,  G.  H.  A treatise  on  analytic  geom- 
etry, especially  as  applied  to  the  properties  of  conics, 
including  the  modern  method  of  abridged  notation; 
written  for  the  mathematical  course  of  J.  Ray.  Cin- 
cinnati, etc.,  [1869].  8®.  pp.  xxxiv.,  574. 

Joachimsthal,  F.  De  duabus  ceti nation  ibus 
(juarti  et  sexti  gradus  qua;  in  theoria  linearum  et 
superficierum  secundi  ordinis  occurrunt.  Berolini, 
1856.  4®.  f.  (I),  pp.  24. 

Lefebure  de  Fouicy,  (L.  E.).  Lemons  de 
geoinetrie  analytitiue,  comprenant  la  trigonomeiric 
rectiligne  et  spherK[ue.  9®  dd.  Paris,  1871.  8®. 

|)p.  viii.,  498,  f.  (i).  IHates. 


50 


WORKS  RELA7'ING  TO  MATHEMAl'ICS. 


Narrien,  J.  Analytical  geometry;  with  the  prop- 
erties of  conic  sections  ; and  an  appendix,  constitut- 
ing a tract  on  descriptive  geometry.  London,  1846. 
8®.  pp.  xxiv.,  202. 

OLney,  E.  A general  geometry  and  calculus : 
including  book  i.  of  The  general  geometry  treating 
of  loci  in  a plane ; and  An  elementary  course  in  the 
differential  and  integral  calculus.  New  York,  [1871  ]. 
8«.  pp.  XXV.,  204,  152. 

Poncelet,  J.  V.  Applications  d’analyse  et  de 
geometric,  qui  ont  servi  de  principal  fondement  au 
'I'raite  des  j^roprietes  projectives  des  figures ; avec 
additions  par  MM.  Mannheim  et  Moutard.  Paris, 
1862-64.  2 V.  80. 

Puissant,  L.  Recueil  de  diverses  propositions 
de  geometric,  resolues  ou  demontrees  par  I’analyse 
algebrique  ; precede  d’un  precis  du  leve  des  plans. 
3«  ed.  Paris,  1824.  8«.  pp.  xxi.-f-,  f.  (i),  pp. 

475.  Plates. 

Rabuel,  C.  Commentaires  sur  la  geometric  de 
Descartes,  l.yon,  1730.  40.  ff.  (4),  pp.  590,  ff. 

(2).  Plates. 

Schooten,  F.  van.  Principia  matheseos  vni- 
versalis;  sev,  Introductio  ad  geometrije  methodum 
R.  Des  Cartes ; edita  ab  E.  Bartholino,  Casp.  fil. 
Lvgd.  Batav.,  1651.  40.  ff.  (8),  pp.  46. 

Lettered  “a  Schoten  mathem.” 

Same.  Ed.  3^.  Amstelodami,  1683.  4®. 

ff.  (8),  pp.  48. 

Tractatus  de  concinnandis  demonstrationi- 

bus  geometricis  ex  calculo  algebraico ; in  lucem  edi- 
tus  a P.  a Schooten.  Amstelodami,  1683.  40.  pp. 

(34O-420,  8. 

Viant,  J.  Notions  sur  quelques  courbes  usuelles. 
Paris,  1864.  80.  pp.  88.  Plates. 

Waud,  S.  W.  A treatise  on  algebraical  geom- 
etry. London,  1835.  8®.  pp.  xxiv.,  260,  ff.  (2). 

(/«  Society  for  the  diffusion  of  useful  knowl- 
edge. Library  of  useful  knowledge.) 

“ Mathematics.  Vol.  ii.” 

Wiegand,  A.  Analytische  Geometric.  3®  Aufl. 
Halle,  1871.  8®.  pp.  vi.,  90.  (/«  his  Lehrbuch 

der  Mathematik.) 

Young,  J.  R.  Analytical  geometry.  2d  ed. 
London,  1838.  2 v.  12®. 

Contents;  — i.  Conic  sections. — ii.  Curves  and  surfaces  of 
ifie  second  order. 

I.  Plane  Analytic  Geometry 
(including  Curves  o/-  the  second  Order). 

Eddy,  H.  T.  A treatise  on  the  principles  and 
applications  of  analytic  geometry.  Philadelphia, 
1874.  8®.  pp.  200. 

Eitze, . Analytisch-Geometrisches.  Sten- 

dal,  [1847].  4«.  pp.  7.  Plate. 

Fergola,  N.  Trattato  analitico  di  luoghi  geomet- 
rici.  Napoli,  1818.  8®.  ff.  (2),  pp.  146,  f.  (i). 

JHates. 

Ferrers,  N.  M.  An  elementary  treatise  on  tri- 
linear  co-ordinates,  the  method  of  reciprocal  polars, 
and  the  theory  of  projections.  2d  ed.  London, 
etc.,  1866.  80.  pp.  xiv.,  182. 

Hann,  J.  A rudimentary  treatise  on  analytical 
geometry  and  conic  sections.  London,  1850.  12®. 

ff.  (2),  pp.  128. 

Joachimsthal,  F.  P'.lemente  der  analytischen 
Geometric  der  Ebene.  2®. Aufl.  Berlin,  1871.  8®. 

pp.  xiv.,  f.  (i),  pp.  205.  Plates. 

Kroll,  . Analytische  Auflosung  geomet- 

rischcr  Aufgaben.  Eisleben,  1856.  4®.  pp.  18. 

Plate. 


Lardner,  D.  A system  of  algebraic  geometry. 
Vol.  i.  London,  1823.  8®.  pp.  (iii.)-lvi.,  512. 

Co7itents  : — The  geometry  of  plane  curves. 

Loomis,  E.  Elements  of  analytical  geometry 
and  of  the  differential  and  integral  calculus.  19th 
ed.  New  York,  1868.  8®.  pp.  xii.,  10-286. 

Two  copies. 

[Algebraic  geometry,  with  differential  and 

integral  calculus ; translated  into  Chinese  by  A. 
Wylie  and  i.e  Shen-lan.]  Shanghae,  1859.  fo. 

(305)- 

Title-page  in  Chinese.  Introduction  and  list  of  technical 
terms  in  English. 

Mousing,  (J.  G.  W.).  Ueber  die  Anfangs- 
griinde  der  symbolischen  Gepmetrie.  Erfurt,  1845. 
40.  f (i),  pp.  40. 

Ohm,  M.  Die  analytische  und  hohere  Geom- 
etric in  ihren  Elementen  ; mit  vorziiglicher  Beriick- 
sichtigung  der  Theorie  der  Kegelschnitte.  Berlin, 
1826.  8®.  pp.  (xi. ),  370.  Plates.  (/« /^/j- Reinen 

Elementar-Mathematik,  i. ) 

Peirce,  J.  M.  A text-book  of  analytic  geometry; 
on  the  basis  of  [B.  ] Peirce’s  treatise.  Cambridge, 
Mass.,  1857.  8®.  pp.  vi.,  f.  (i),  pp.  228.  Plates. 

Puissant,  L.  Recueil  de  diverses  propositions 
de  geometrig,  resolues  ou  demontr^es  par  I’analyse 
algebrique,  suivant  les  principes  de  Monge  et  de  La- 
croix. Paris,  1801.*  8®.  pp.  loi,  f (i).  Plates. 

Same.  Precede  d’un  Precis  du  leve  des 

plans.  3®  ed.  Paris,  1824.  8®.  pp.  xxi.-|-,  f.  (i), 

pp.  475.  Plates. 

Ritt,  G.  Problemes  de  geometric  analytique, 
avec  les  solutions  developpees.  2®  ed.  Paris,  1859. 
8®.  f (i),  pp.  361.  Plates. 

Lettered  “ Problemes  de  geometrie  analytique.” 

Schwarz,  H.  Die  Elemente  der  analytischen 
Geometrie  der  Ebene.  i®  Abth.  Plalle,  1858.  8®. 

ff.  (2),  pp.  277-I-.  Plates.  {In  his  System  der 
analytischen  Geometrie,  i. ) 

Todhunter,  I.  A treatise  on  plane  co-ordinate 
geometry  as  applied  to  the  straight  line  and  the 
conic  sections,  with  numerous  examples.  5th  ed. 
London,  1874.  8®.  pp.  vi.,  358. 

Whitworth,  W.  A.  Trilinear  coordinates  and 
other  methods  of  modern  analytical  geometry  of  two 
dimensions.  Cambridge,  1866.  8®.  pp.  xxxvi., 

f (i),  pp.  506. 

Wiegand,  A.  Mathematische  Kleinigkeiten. 
Halle,  1846.  4®.  f.  (i),  pp.  12. 

2.  Analytic  Geometry  0/  Three  Dhnensions 
{including  Surfaces  of  the  second  Order). 

Bachmann,  (H.  K.  W.)  F.  De  rectorum 
radiorum  systematis  quorum  superficies  mediae  sint 
planae. — Diss.  Inaug.  Berolini,  [1861].  4®.  pp. 

26,  f.  (I). 

Baumgardt,  E.  De  lineis*  duplicis  curvaturae 
sectione  superficierum  rotatoriarum  secundi  ordinis 
oriundis,  quarum  axes  rotationis  sunt  principales  et 
alter  alteri  paralleli.  Vratislaviae,  [1842].  8®.  ff. 

(2),  pp.  34,  f.  (i). 

Carnot,  L.  N.  M.  Memoire  sur  la  relation  qui 
existe  entre  les  distances  respectives  de  cinq  points 
quelconques  pris  dans  I’espace ; suivi  d’un  essai  sur 
la  theorie  des  transversales.  Baris,  1806.  4®.  ff. 

(2),  pp.  Plates. 

Diederichs,  O.  De  planis,  quorum  summa  dis- 
tantiarum  a numero  dato  planorum  est  constans, 
quaedam  proferuntur.  Ilalberstadt,  [1864].  4®. 

fi(i),  pp.  23.  Plates. 

Dornheim,  F.  Additamenta  ad  theoriam  super- 
ficicrum  secundi  ordinis.  Minden,  1842.  4®.  f. 

(i),  pp.  10. 


CORNELL  UNIVERSITY. 


5 


Drobisch,  M.  W.  De  horizontibus  sphaeroi- 
dum ; specimen  analytico-geomelricum.  Lipsiae, 
[1831].  40.  pp.  26. 

Frost,  P.,  and  J.  Wolstenholme.  A treatise 
on  solid  geometry.  Cambridge,  etc.y  1863.  8®. 

pp.  (iii.)-xxiii.,  471.  Plates. 

Gregory,  D.  F.,  and  W.  Walton.  A treatise 
on  the  application  of  analysis  to  solid  geometry.  2d 
ed.  Cambridge,  etc..,  1852.  8®.  pp.  xvi.,  310. 

Plates. 

Houel,  G.  L.  Responsio  ad  quaestionem : “ De- 
sideratur  commentatio  de  coni  scaleni  proprietatibus, 
valore  superficiei  et  sectionibus  planis.”  [Gronin- 
gae,  1831].  40.  pp.  49.  Plate. 

Hymers,  J.  A treatise  on  analytical  geometry 
of  thi-ee  dimensions,  containing  the  theory  of  curve 
surfaces,  and  of  curves  of  double  curvature.  2d  ed. 
Cambridge,  etc.,  1836.  f.  (i),  pp.  viii.,  2754-* 
Plates. 

Same.  3ded.  Cambridge,  1848.  8®. 

pp.  viii.,  324.  Palates. 

Leroy,  C.  F.  A.  Analyse  appliquee  a la  g^o- 
metrie  des  trois  dimensions ; comprenant  les  sur- 
faces du  second  degre,  avec  la  theorie  generale  des 
surfaces  courbes  et  les  lignes  a double  courbure.  4® 
^d.  Paris,  1854.  pp.  xvi.,  408.  Plates. 

Mayr,  (A.).  Ueber  die  tangirenden  Flachen 
erster  und  zw^eiter  Ordnung.  Wurzburg,  1845.  4®. 

pp.  79. 

Oliver,  J.  E.  On  some  focal  properties  of  quad- 
rics. [Cambridge,  Mass.],  1865.  8®.  f.  (i),  pp. 

(39)-43- 

“ From  the  Proceedings  of  the  Amer.  acad.  of  arts  and  sci- 
ences, vol.  vii.,  Nov.  8,  1865.” 

Painvin,  L.  Application  de  la  nouvelle  analyse 
aux  surfaces  du  second  ordre.  Paris,  1861.  8®. 

pp,  viii.,  170. 

Ritzefeld,  (A.).  Analytische  Darstellung  ein- 
iger  geometrischen  Oerter  in  Raume.  Duren,  1861. 
40.  f.  (I),  pp.  22. 

Salmon,  G.  A 'treatise  on  the  analytic  geometry 
of  three  dimensions.  2d  ed.  Dublin,  1065.  8". 

pp.  XV.  4- , 520. 

Scliwering,  K.  (M.  J.  G.).  De  linea  brevissi- 
ma  in  elliptica  paraboloide  sita. — Diss.  Inaug.  Per- 
olini,  1869.  40.  ff.  (2),  pp.  32. 

Serret,  P.  G^ometrie  de  direction  ; application 
des  coordonn^es  polyedriques.  Paris,  1869.  8*^. 

pp.  XX.,  523. 

Szenic,  S.  Disquisitiones  analyticae  nonnulla- 
rum  qualitatum  superficierum  confocalium  secundi 
gradus.  Schrimm,  1865.  4“.  pp.  xxxxii. 

Todhunter,  I.  Examples  of  analytical  geometry 
of  three  dimensions.  2d  ed.  Cambridge,  i’/r.,  1864. 
80.  pp.  84. 

Willert,  (A.).  Ueber  die  Kriimmung  des  ellip- 
tischen  Paraboloids.  Frankfurt  a.  O.,  1867.  4<‘. 

f.  (I),  pp.  24. 

c.  Modern  Higher  Geometry 

{employing  Transversals,  Correlation  0/ Figures,  Trigonom- 
etry,  etc.). 

Carnot,  L.  N.  M.  Gdorn^trie  de  position. 
Paris,  An  IX.  (1803).  40.  ff.  (2),  pp.  xxxviii., 

f.  (i),  pp.  489.  Plates. 

Chasles,  M.  Traits  de  g^om^trie  supdrieure. 
Paris,  1852.  8'>.  pp.  Ixxxiii.,  603.  Plates. 

Die  Grundlehren  der  neuern  Geometric; 

nach  Chasles’  Traite  de  g^om^trie  sup^rieure  frei 
bearbeitet  von  C.  II.  Schnuse.  Theil.  Praun- 
schweig,  1856.  80.  pp.  XV.,  349. 


Contents  ; — Die  Theorie  der  anharmonischen  Verbal tnisscs, 
der  homographischen  Theilung  und  dcr  Involution. 

Faber,  F.  Einige  planimetrische  Satze.  Lauban, 
[1861].  40.  f.  (i),  pp.  10.  Plates. 

Heinen,  F.  Einige  planimetrische  Satze.  Diis- 
seldorf,  [1865].  40.  pp.  (ii)-i5.  Plate. 

Jonqui^res,  E.  de.  Melanges  de  geometric 
pure,  comprenant  diverses  applications  des  theories 
exposees  clans  le  Traits  de  geometric  superieure  de 
M.  Chasles,  et  la  traduction  du  traite  de  Maclaurin 
sur  les  courbes  du  troisieme  ordre.  Paris,  1856. 
80.  pp.  viii.,  261.  Plates. 

Krause,  . Das  Pascal’sche  Sechseck. 

Deutsch-Crone,  1863.  40.  pp.  14.  Plates. 

Mobius,  A.  F.  Der  barycentrische  Calcul ; ein 
neues  Hiilfsmittel  zur  analytischen  Behandlung  der 
Geometric.  Leipzig,  1827.  80.  pp.  xxiv.,  454-f. 

Plates. 

Mulcahy,  J.  Principles  of  modern  geometry, 
with  applications  to  plane  and  spherical  figures  ; ancl 
an  appendix.  2d  ed.  Dublin,  1862.  pp.  vii.,  227. 

Steiner,  J.  Die  geometrischen  Konstructionen 
ausgefiihrt  mittelst  der  geraden  Linie  und  eines 
festen  Kreises.  Berlin,  1833.  80.  pp.  no.  Plates. 

Vorlesungen  iiber  synthetische  Geometric. 

Leipzig,  1867.  2 V.  8«. 

Contents  ; — i.  Die  Theorie  der  Kegelschnitte  in  elementarer 
Darstellung:  bearbeitet  von  C.  F.  Geiser. — ii.  Die  Theorie 
der  Kegelschnitte  gestiizt  auf  projektivische  Eigenschaften ; 
bearbeitet  von  H.  Schrbter. 

Townsend,  R.  Chapters  on  the  modern  geom- 
etry of  the  point,  line  and  circle.  Dublin,  1803-65. 
2 V.  8‘>. 


I.  Correlation  of  Figures. 

Carnot,  L.  N.  M.  De  la  correlation  des  figures 
degeometrie.  Paris,  An  IX.  (1801).  8«.  pp.  viii., 

188,  ff.  (2).  Plates. 

Freyer,  P.  (G. ).  De  quadrilateri  et  quadranguli 
inter  se  polarium  connexu.  Vratislavim,  [1862]. 
4‘».  pp.  194-. 

Kast,  J.  U.  Einige  Satze  fiber  projectivische 
Ebencn  und  Slrahlenbiindcl, — Inaug.  Diss.  Mar- 
burg, 1857.  8‘>.  pp.  38.  Plate. 

Maur,  (A.).  Einleitung  in  die  ncuere  Geom- 
etrie:  i.  Die  Conformitat  der  ebencn  Gebilde.  Cob- 
lenz, 1861.  4“.  pp.  25.  Plate. 

Poncelet,  J.  V.  'I'raite  des  jnoprietes  projec- 
tives  des  figures.  2«  ed.  Paris,  1865-66.  2 v.  4”. 
Plates. 

Contents:  — i.  Principes  gdneraux.  — Proprictes  fondainen- 
tales  des  lignes  droites,  des  sections  coni(iucs  et  des  cercles.  — 
Systenies  de  sections  coniques.  — Des  angles  et  des  polygones. 
— Proprictes  projectives  des  figures  dans  I’espace. — ii.  Cen- 
tres de  inoyennes  harinoniques.  — Polaires  reciproipics.  — Ana- 
lyse des  transversales  applitjuee  anx  courbes  et  surfaces  gcoinc- 
triques.  — Proprietds  communes  aux  systenies  de  lignes  et  de 
surfaces  geometriques  d’ordre  quelcompie.  — Cuiisidirations 
gencrales. 

Steiner,  J.  Systematische  Entwickelung  der 
Abhiingigkeit  geometrischer  Ge^jtallen  von  einander, 
mit  Berficksiclitigung  der  Arbeitcn  alter  und  neuer 
Geometer  fiber  Porismen,  Projection.s-Mellioden, 
Geometric  der  Lage,  Tran.sversalen,  Dualitiit  und 
Reciprocitat,  etc.  Theil.  Berlin,  1832.  8“. 

pp.  xvi.,  322.  Plates. 

No  more  published. 

2.  Harmonic  Division. 

Hiilsen,  M.  Die  IClementc  der  harmonischen 
Theilung  grader  Linien.  Naumburg  a.  S.,  1868. 
40.  f.  (i),  pp.  35.  Plates. 

Jansch,  (E.  R. ).  Einiges  aus  der  Lehre  von 
der  harmonischen  Theilung.  Rastenburg,  1848. 
40.  pp.  20.  Plate. 


52 


IVORKS  RELA  TING  TO  MA  THEM  A TICS. 


Kambly,  L.  Tlieorie  der  Harmonikalen.  Bres- 
lau, 1859.  40.  f.  (i),  pp.  32.  Plates. 

d.  Descriptive  Geometry  and  its  Applications. 

(See  also  Practical  Geometry.) 

Bellavitis,  G.  Lezioni  di  geometria  descrittiva. 
2®  ed.  Padova,  1868.  8®.  pp.  206,  f.  (i).  Plates. 

Briot,  C.,  et  C.  Vacquant.  Elements  de  geo- 
metrie  descriptive.  2^  ed.  Paris,  1869.  80.  ff. 

(2),  pp.  140.  Plates. 

Church,  A.  E.  Elements  of  descriptive  geom- 
etry, with  its  applications  to  spherical  projections, 
shades  and  shadows,  perspective  and  isometric  pro- 
jections. New  York,  1870.  Atlas  of  plates,  op. 

Davies,  C.  Elements  of  descriptive  geometry, 
with  their  application  to  spherical  trigonometry, 
spherical  projections,  and  warped  surfaces.  New 
York,  1866.  80.  pp.  174.  Plates. 

Flohr,  A.  Der  Unterricht  in  der  beschreiben- 
den  Geometric  auf  Realschulen.  Berlin,  1869.  40. 

pp.  30. 

Hachette,  (J.  N.  P.).  Supplement  de  la  geo- 
metric descriptive  [de  G.  Monge].  Paris,  1812. 
40.  ff.  (2),  pp.  viii.,  1 18,  f.  (i). 

Bd.  with  Monge’s  “ Geometric  descriptive.” 

Heather,  J.  F.  Descriptive  geometry  applied 
to  drawing  and  designing ; with  the  theory  of  shad- 
ows and  perspective,  and  the  principles  and  practice 
of  isometrical  projection.  New  ed.,  with  an  index. 
London,  n.  d.  120.  pp.  \'i.,i42.  Plates.  (Weale’s 
rudimentary  series,  76.) 

Jullien,  A.  Cours  el^mentaire  de  geometric  de- 
scriptive [avec  une  collection  de  reliefs].  ed. 
Paris,  1878.  120.  pp.  xxiv.,  156.  Plates  and  box 

of  reliefs. 

Lacroix,  S.  F.  Essais  de  geometric  sur  les 
;)lans  et  les  surfaces  courbes  (elemens  de  geometric 
descriptive).  7®  ed.  Paris,  1840.  8®.  pp.  xi.-f, 

1 19.  Plates. 

Leroy,  C.  F.  A.  Traite  de  geometric  descrip- 
tive, suivi  de  la  methode  des  plans  cotes  et  de  la 
theorie  des  engrenages  cylindriques  et  coniques ; 
avec  une  collection  d’epures.  7«  ed.,  revue  et  an- 
notee  par  M.  E.  Martelet.  Paris,  1865.  40,  and 

A tlas  of  plates. 

Monge,  G.  Gdometrie  descriptive.  7®^d.,aug- 
mentee  d’une  theorie  des  ombres  et  de  la  perspec- 
tive, extraite  des  papiers  de  Pauteur,  par  [ll]  Bris- 
son.  Paris,  1820.  40.  pp.  xx.,  187.  Plates. 

Olivier,  T.  D^veloppements  de  geometric  de- 
scriptive. Paris,  1843.  4^,  and  Atlas  of  plates. 

Smith,  F.  H.  Elements  of  descriptive  geom- 
etry, with  its  applications  to  shades,  shadows  and 
perspective,  and  to  topography.  Baltimore,  1871. 
8«.  pp.  (iii.)-70. 

Tresca,  H.  Traits  ^l^mentaire  de  g^om^trie  de- 
scriptive, r^dig6  d’apr^s  les  ouvrages  et  les  lc9ons 
de  T.  Olivier.  2®  dd.  Paris,  1864.  80,  and  Atlas 

of  plates. 

Bd.  in  I V. 

I.  Perspective 

{including  Shades  and  Shadows). 

Bacon,  R.  Perspcctiva;  in  qua,  qu?e  ab  aliis 
fvse  trarluntur,  succinctc,  neruose  & ita  pertractan- 
tur,  vt  omnium  intcllcctui  facile  pateant;  nunc  pri- 
mum  in  lucem  edita  opera  & studio  J.  Combachii. 
Erancofvrti,  1614.  4'’.  ff.  (4),  pp.  (207).  Plates. 

'I  he  numeration  of  pages  is  irregular.  'J'he  “ I'ractatvs  de 
de  speevlis”  occupies  pp.  i68-(207). 

Bernard,  C.  E.  An  essay  on  arithmetical  per- 


spective, in  which  the  representation  is  obtained  by 
computation  from  the  known  dimensions  and  posi- 
tion of  the  object.  London,  1839.  80.  pp.  xvi.. 

135.  Plates. 

Davidson,  E.  A.  The  elements  of  practical 
perspective.  London,  [1870].  160.  pp.  viii.,  89. 

Plates. 

Davies,  C.  A treatise  on  shades  and  shadows, 
and  linear  perspective.  New  York,  1868.  8®.  pp. 

159.  Plates. 

Emerson,  W.  Perspective:  or,  The  art  of 
drawing  the  representations  of  all  objects  upon  a 
plane.  [London,  1768.]  80.  pp.  vi.,  iii.  Plates. 

Bd.  with  his  “Optics.” 

Marolois,  S.  La  perspective;  contenant  tant 
la  theorie  que  la  practique  et  instruction  fondamen- 
tale  d’icelle,  remise  en  volume  plus  commode  qu’  au- 
paravant.  Amsterdam,  1662.  fo.  ff.  (2),  pp.  42. 
Plates. 

Bd.  with  his  “ Mathematicum.” 

Two  engraved  title-pages,  on  both  of  which  the  dates  have 
been  altered,  that  of  the  second  being  1651.  The  second  title- 
page  says  that  the  work  is  “ par  lean  Vredeman  Prison,  et  aug- 
mentee  par  Samuel  Marolois.” 

Monge,  (G.).  Theorie  des  ombres  et  de  la  per- 
spective; extrait  par  [B.  ] Brisson.  Bruxelles,  1827. 
8®.  ff.  (2),  pp.  68.  Plates. 

Pyne,  G.  Rudimentary  perspective.  Pt.  i.,  ii. 
London,  1848.  120.  pp.  v.,  f.  (i),  pp.  60.  Plates. 

Scholz,  J.  Ueber  Wesen  und  Bedeutung  der 
Perspective.  Berlin,  1867.  40.  pp.  28. 

This  copy  lacks  the  last  folio. 

Taylor,  B.  Principles  of  linear  perspective ; or. 
The  art  of  designing  upon  a plane  the  representation 
of  objects  as  they  appear  to  the  eye.  New  ed.,  with 
additions  by  J-  Jopling.  London,  1835.  8®.  pp. 

xxviii.,  no.  Port,  and  plates. 

Taylor,  C.  A familiar  treatise  on  perspective; 
in  four  essays.  London,  1816.  80.  pp.  143+. 

Plates. 

Wood,  J.  Elements  of  perspective ; containing 
the  nature  of  light  and  colours,  and  the  theory  and 
practice  of  perspective ; [and]  Rules  for  painting  in 
transparent  water  colours.  Edinburgh,  1797.  80. 

pp.  XV.,  192.  Plates. 

Wood,  J.  G.  Lectures  on  the  principles  and 
practice  of  perspective.  3d  ed.  London,  1844.  40. 

pp.  vi.,  f.  (i),  pp.  95.  Plates. 

Zanotti,  E.  Trattato  teorico-pratico  di  prospet- 
tiva.  Milano,  1825.  8°.  pp.  xxxii.,  230-}-.  Plates. 

2.  Stereotomy. 

Leroy,  C.  F.  A.  Traits  de  st^rdotomie,  com- 
prenant  les  applications  de  la  g^ometrie  descriptive. 
Paris,  1844.  40,  and  Atlas  of  plates,  fo. 

Warren,  S.  E.  Problems  in  stone-cutting. 
New  York,  1875.  PP*  ^i*>  126.  Plates. 

Two  copies. 

e.  Practical  Geometry 

{ifuluding  Mensuration,  Geometric  Drawing  and  Projec- 
tion, Surveying,  etc.). 

' (See  also  Descriptive  Geometry.) 

Diirer,  A.  Institvtionvm  geometricarvm  libri 
qvatvor,  in  quibus,  lineas,  superficies,  & solida  cor- 
pora, ita  tractavit,  ut  non  malhescos  solum  s'tudiosis, 
sed  & pictoribus,  fabris  oerariis  ac  lignariis  [etc.] 
sint  summ6  utiles  & necessarii : versi  olim  6 Ger- 
manica  in  linguam  Latinam,  & nunc  iterate  editi, 
servato  ordine  & figuris,  sicut  ab  ipso  authore  cx* 
pressse  fuerunt.  Arnhemi.x,  1605  (col.  1606).  fo, 
ff.  (3),  pp.  185.  Plate  and  wdets. 


CORNELL  UNIVERSLTY. 


53 


Langley,  B.  Practical  geometry  applied  to  the 
useful  arts  of  building,  surveying,  gardening  and 
mensuration.  London,  1726.  f®.  pp.  viii.,  136. 

Elates. 

Mayer,  J.  T.  Griindlicher  und  ausfiihrlicher 
Unterricht  zur  praktischen  Geometrie.  Gottingen, 
1814-20,  ’15.  5 V.  80. 

Cotitents  : — i.-iii.  Feldmesskunst.  — iv.  Verzeichnung  der 
Charten. — v.  Stereotomie. 

Bd.  i.-iii.,  4®  Aufl. ; iv.,  2®  Aufl. ; v.,  3®  Aufl. 

Metius,  A.  Geometriae  practicse,  part.  vi.  ; 
quarum  duae  priores  rei  cujusvis  mensurabilis  vim, 
proprietates  & habitudines  interpretantur  & exer- 
cent. . Franekerae,  1640.  sm.  40.  f.  (i),  pp.  185- 
426,  ff.  (15).  Plates. 

Lettered  “ Geestevelt.” 

Tarn,  E.  "W.  Practical  geometry  for  the  archi- 
tect, engineer,  surveyor  and  mechanic.  London, 
1871.  80.  pp.  xvi.,  170. 

Tarnier,  E.  A.  Elements  de  geometrie  pratique. 
Paris,  1872.  8®,  and  Atlas  of  plates^  fo. 

I.  Mensuration. 

Bonnycastle,  J.  An  introduction  to  mensura- 
tion and  practical  geometry.  14th  ed.  London, 
1827.  120.  pp.  xii.,  300. 

Day,  J.  A practical  application  of  the  principles 
of  geometry  to  the  mensuration  of  superficies  and 
solids.  New  York,  1848.  12^.  pp.  100. 

Bd.  with  same  ed.  of  his  “ Trigonometry.” 

Hutton,  C.  A treatise  on  mensuration,  in  the- 
ory and  practice.  4th  ed.  London,  1812.  pp.  xvi., 
530- 

2.  Geometric  Drawing  and  Projection. 

Binns,  W.  An  elementary  treatise  on  ortho- 
graphic projection  ; being  a new  method  of  teaching 
the  science  of  mechanical  and  engineering  drawing. 
4th  ed.  London,  1865.  80.  pp.  xxvi.,  138.  Plates. 

Bradley,  T.  Elements  of  geometrical  drawing; 
or.  Practical  geometry,  plane  and  solid,  including 
botli  orthographic  and  perspective  projection.  Pt. 
1.  London,  1861.  old.  40.  pp,  34.  Plates. 

Burn,  R.  S.  The  illustrated  I.ondon  practical 
geometry,  and  its  application  to  architectural  draw- 
ing. 2d  ed.  London,  [1853?].  8^.  pp.  83. 

Plate. 

Clarke,  G.  S.  Practical  geometry  and  engineer- 
ing drawing.  London,  1875.  40.  pp.  viii.,  116. 

Plates. 

Davidson,  E.  A.  Linear  drawing,  showing  the 
application  of  practical  geometry  to  trade  and  manu- 
factures. London,  [1868].  16®.  pp.  x.,  118. 

Orthographic  and  isometrical  projection, 

development  of  surfaces  and  penetration  of  solids. 
London,  [1868].  16".  pp.  xi.,  128. 

Emerson,  W.  The  projection  of  the  sphere, 
orthographic,  stereographic  and  gnomonical,  dem- 
onstrating the  principles  and  explaining  the  practice 
of  these  three  sorts  of  projection.  2d  ed.  London, 
1769.  8«.  pix  iv.,  57-f-.  Plates. 

Bd.  with  his  “ Mechamcs.” 

Francoeur,  L.  B.  Lineal  drawing,  and  intro- 
duction to  geometry,  as  taught  in  the  Lancastrian 
schools  of  France  ; translated.  London,  1835.  8®. 

f.  (I),  pp‘.  6,  83,  ff.  (6).  Plates. 

Minifie,  W.  A text  book  of  geometrical  draw- 
ing; with  an  introduction  to  isometrical  drawing,  a 
course  of  linear  perspective  and  shadows,  an  essay 
on  the  theory  of  color.  8th  thous.  New  York, 
1871.  8'^  |)p.  162.  Plates. 

Nicholson,  P.  A treatise  on  j^rojection,  with  a 


complete  system  of  isometrical  drawing.  I.ondon, 
1840.  80.  f.  (i),  pp.  xvi.,  136.  I^ort.  and  plates. 

Rijke,  P.L.  Responsio ad quaestionem : “Com- 
mentatio  de  projectione  stereographica  ejusque  usu 
in  geographica  et  phasibus  defectus  Solaris  delinean- 
dis.”  [Lugduni  Batavorum,  1832.]  40.  pp.  41. 

Plates. 

Sopwith,  T.  Treatise  on  isometrical  drawing, 
as  applicable  to  geological  and  mining  plans,  delin- 
eations of  ornamental  grounds,  perspective  views  of 
buildings  and  machinery,  and  to  civil  engineering. 
2d  ed.  London,  1838.  80.  f.  (i),  pp.  xiii.,  f.  (i), 

pp.  224.  Plates. 

3.  Surveying^  Geodesy,  and  Hydrography 
(including  Topographical  Drawing). 

Abendroth,  W.  Darstellung  und  Kritik  der 
altesten  Gradmessungen.  Dresden,  1866.  8®.  f. 

(I),  pp.  47. 

Baker,  T.  Elementary  treatise  on  land  and  en- 
gineering surveying.  New  ed.  London,  1868. 
120,  pp.  xii.,  228.  Plates.  (Weale’s  rudimen- 
tary series,  60.) 

Burt,  W.  A key  to  the  solar  compass,  and  sur- 
veyor’s companion,  comprising  all  the  rules  neces- 
sary for  use  in  the  field.  Philadelphia,  1858.  120. 

pp.  84,  1 1 8. 

Cai'penter,  F.  De  Y.  Geographical  surveying; 
its  uses,  methods  and  results.  New  York,  1878. 
180,  pp.  176.  (Van  Nostraiid’s  science  series, 
37-) 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Clarke,  A.  R.  Geodesy.  Oxford,  i88o.  8®. 

pp.  xi.,  356.  (Clarendon  press  series.) 

Davies,  C.  Elements  of  surveying  and  level- 
ling; with  descriptions  of  the  instruments  and  the 
necessary  tables.  New  York,  1871.  8».  pp.  270, 

161. 

Gillespie,  W.  M.  A treatise  on  land-surveying; 
comprising  the  theory  developed  from  five  elemen- 
tary principles,  and  the  practice  with  the  chain  alone, 
the  compass,  the  transit,  the  theodolite,  the  plane 
table,  &c.  8th  ed.  New  York,  1868.  8«.  pp.  428, 

16,  84.  Chart. 

Gordan,  P.  A.  De  linea  geodetica. — Diss. 
inaug.  Berolini,  [1862].  4“.  ff.  (2),  pp.  40,  f.  (i). 

Gummere,  J.  A treatise  on  surveying;  to  which 
is  prefixed  A system  of  plane  trigonometry.  4th  ed. 
Philadelphia,  1825.  8‘*.  pp.  216,  152.  Plates. 

The  separate  pagination  at  the  end  of  the  volume  is  that  of 
“Mathematical  tables”,  having  a separate  title-page,  and 
dated  1822. 

Same;  5th  ed.  Philadelphia,  1828.  8®. 

pp.  216,  152.  Plates. 

The  title-page  of  the  “ Mathematical  tables”  is  dated  1829. 

Same ; 14th  ed.,  [with]  articles  on  the 

theodolite,  levelling,  and  to[)ography.  Philadel- 
phia, 1843.  8*^.  pp.  266,  152.  Plates. 

Jess,  Z.  A compendious  system  of  practical  sur- 
veying and  dividing  of  land.  Wilmington,  [Del.], 
1799.  8<h  pj).  iv.-f-,  f.  (i),  pp.  212,  (60). 

Contains  an  appendix  of  tables  with  separate  title-page. 

[Lee,  T.  J.  ] Tables  and  formulm  useful  in  sur- 
veying, geodesy,  and  practical  astronomy,  including 
elements  for  the  projection  of  maps,  and  instructions 
for  field  magnetic  observations.  3d  ed.  Washing- 
ton, 1873.  80.  pp.  ix.,  f.  (i),  ])p.  310.  (U.  S. — 

Corps  of  engineers.  Professional  papers,  12.) 

Leybourn,  W.  'Phe  compleat  surveyor ; or. 
The  whole  art  of  surveying  of  land,  by  a new  instru- 
ment lately  invented;  as  also  by  the  plain  table,  cir- 
cumferentor, the  theodolite,  or  by  the  chain  ojily. 


54 


WORKS  RELATING  TO  MATHEMATICS. 


5th  ed.,  [with]  an  Appendix  of  practical  observations 
in  land  surveying,  by  S.  Cunn.  London,  1722.  fo. 
ff.  (6),  pp.  100,  166,  155.  Port.  2indi  plates. 

Linterii,  W.  The  mineral  surveyor  and  valu- 
er’s complete  guide ; comprising  a ■ treatise  on  im- 
proved mining  surveying,  with  new  transverse 
tables ; to  which  is  appended  the  2d  ed.  of  F.  Tho- 
man’s  Treatise  on  compound  interest  and  annuities, 
with  logarithmic  tables.  London,  1872.  12®.  pp. 

viii.,  184,  xviii.,  128,  ff.  (2),  pp.  63. 

Thoman’s  “ Treatise  ” has  a separate  title-page. 

Murray,  D.  Manual  of  land-surveying,  with 
tables.  New  York,  1872.  12®.  f.  (i),  pp.  259. 

plates  and  wdcts. 

Robinson,  H.  N.  A treatise  on  surveying  and 
navigation.  3d  ed.  Cincinnati,  etc.,  1853.  80. 

pp.  230,  lOI. 

Simms,  F.  W.  A treatise  on  the  principles  and 
practice  of  levelling.  5th  ed.,  revised  with  the  addi- 
tion of  Law’s  Practical  examples  for  setting  out 
railway  curves,  and  Trautwine’s  Field  practice 
of  laying  out  circular  curves.  London,  1866.  8®. 

pp.  vii.,  215. 

Traulwine,  J.  C.  The  field  practice  of  laying 
out  circular  curves  for  railroads.  8th  ed.  Philadel- 
phia, 1873.  120.  pp.  108. 

3'.  Compidation  0/  Earthworks. 

Morris,  E.  Easy  rules  for  the  measurement  of 
earthworks,  by  means  of  the  prismoidal  formula. 
Philadelphia,  1872.  8®.  pp.  189. 

Warner,  J.  New  theorems,  tables  and  diagi-ams 
for  the  computation  of  earth-work.  Philadelphia, 
1861.  8®.  pp.  315-f'-  Plates. 

Wellin^on,  A.  M.  Methods  for  the  computa- 
tion from  diagrams  of  preliminary  and  final  estimates 
of  railway  earthwork.  New  York,  1874-75.  2 v. 

8®  and  fo. 

3".  Hydrography. 

Hassler,  F.  R.  Papers  on  various  subjects  con- 
nected with  the  survey  of  the  coast  of  the  United 
States.  Philadelphia,  1824.  4®.  pp.  2004-.  Plates. 

“ Extracted  from  the  American  philosophical  transactions, 
vol.  ii.” 

Corrections  to  the  papers  on  the  coast  sur- 
vey published  in  the  Philosophical  transactions  of 
Philadelphia.  New  York,  1826.  8®.  pp.  13. 

Bd.  with  the  preceding  voL 

United  States — Coast  survey.  Annual  report 
of  the  superintendent.  1851-76.  27  V.  8oand40. 

The  maps  for  1851  were  issued  in  a separate  vol. 

3'".  Topographical  Drawing. 

Eastman,  S.  Treatise  on  topographical  draw- 
ing. New  York,  1837.  8®.  pp.  68.  Plates. 

Fischer,  E.  Ueber  oequidistante  Niveaucurven. 
[Aarau,  1869.]  4".  pp.  23.  Plate. 

Puissant,  "L.  Traite  de  topographique,  d’arpen- 
tage  et  de  nivellement.  Paris,  1^7.  4®.  pp.  xx., 

33  L ff*  (9)*  Plates. 

f.  Angtilar  Section. 

Azemar,  L.  P.  V.  M.  Trisection  de  Pangle ; 
suivie  de  recherches  sur  le  m6me  sujet  par  J.  G. 
Gamier.  Paris,  1809.  80.  ])p.  vii.,  118.  Plates. 

Morideson,  N.  Hints  on  the  trisection  of  an 
angle  and  duplication  of  the  cube  in  elementary  ge- 
ometry. Calcutta,  1834.  8«.  pp.  4,  f.  (i),  pp. 

(5)-30.  Plates. 


g.  Circles. 

Anderssen,  A.  Theorie  des  schiefen  Schnittes 
unter  bestimmten  Kreisen  und  Graden.  Breslau, 
[1864].  40.  pp.  47.  Plates. 

Muller,  . Ueber  proportionale  Kreis-Pot- 

enzen.  Berlin,  1844.  40,  f.  (i),  pp.  24.  Plate. 

Ney decker,  . De  locis  geometris,  speci- 
men i.  Brandenburg,  1834.  40.  f.  (i.),  pp.  26. 

Plate. 

h.  Conic  Sections. 

Berkenbusch,  ( C. ).  Die  Lehre  von  der  Ellipse 
im  Anschluss  an  die  Kreislehre.  Biickeburg,  [1865]. 
40.  f.  (i),  pp.  31.  Plate. 

Bridge,  B.  A treatise  on  the  construction,  prop- 
erties and  analogies  of  the  three  conic  sections.  3d 
ed.  London,  1831.  8®.  pp.  137. 

Same.  From  the  2d  London  ed.,  with  ad- 
ditions and  alterations  by  [F.  A.  P.  Barnard]. 
New  Haven,  1857.  8®.  pp.  136. 

Cagnoli,  A.  Sezioni  coniche.  Modena,  Anno 
X.  [1802].  8®.  pp.  vii.,  224.  Plates. 

Chasles,  M.  Traite  des  sections  coniques ; fai- 
sant  suite  au  Traite  de  geometrie  sup^rieure.  i®  pte. 
Paris,  1865.  8®.  pp.  xi.,  f.  (i),  368.  Plates. 

No  more  published. 

Clarke,  J.  S.  The  properties  of  the  parabola 
proved  geometrically ; to  which  is  added  A collec- 
tion of  problems.  Cambridge,  etc.,  1852.  8®.  pp. 

24. 

Coffin,  J.  H.  Elements  of  conic  sections  and 
analytical  geometry.  Stereotype  ed.  New  York, 
(cop.  1848).  8®.  pp.  158. 

Drew,  W"*  H.  A geometrical  treatise  on  conic 
sections ; with  a copious  collection  of  examples,  em- 
bodying every  question  which  has  been  proposed  in 
the  Senate  House  at  Cambridge.  3d  ed.  London, 
etc.,  1864.  8®.  pp.  vii.,  138. 

Same.  4th  ed.  London,  etc.,  1869.  8®. 

pp.  139. 

[Emerson,  W.]  The  elements  of  the  conic 
sections;  demonstrated  in  three  books.  [London, 
1767?]  8®.  f.  (i),  pp.  225.  Plates. 

Contents: — i.  The  ellipsis. — 2.  The  hyperbola.  — 3.  The 
parabola. 

Feldner,  L.  Qugestiones  de  sectionibus  conicis. 
Bonnae,  [1865].  8®.  ff.  (2),  pp.  29,  f.  (i).  Plates. 

Fbrstemann,  W.  A.  Beitrage  zu  einer  ein- 
fachen  elementaren  Behandlung  der  Lehre  von  der 
Kegelschnitten  nach  geometrisefier  Methode.  Dan- 
1833.  4®.  f.  (i),  pp.  35.  Plates. 

Freyer, . Ueber  die  einem  Vierseit  einge- 

schriel)enen  Kegelschnitte.  Schweidnitz,  i86o.  4®. 
pp.  16. 

Hamilton,  H.  P.  An  analytical  system  of  conic 
sections.  3d  ed.  Cambridge,  1834.  8®.  pp.  xx., 

207. 

Hulsmann,  H.  Uber  die  Normalen  an  die  Ke- 
gelschnitte. Diisseldorf,  1864.  4®.  f.  (i),  pp.  22. 

Plate. 

Hymers,  J.  A treatise  on  conic  sections  and  the 
application  of  algebra  to  geometry.  3d  ed.  Cam- 
bridge, 1845.  8®.  pp.  iv.,  228.  Plates. 

Korneck,  G.  Bestimmung  der  Kegelschnitte 
durch  das  Centrum  und  3 Tangenten  oder  3 Punkte. 
Oels,  [1868].  4®.  f.  (i),  pp.  20.  Plates. 

L’Hospital,  G.  F.  A.  de,  marquis  de  Sainte- 
Mesme.  Traits  analytique  des  sections  coniques  et 
de  leur  usage  pour  la  resolution  des  equations  dan.s 
les  orobl^mes  tant  d^terminez  ou’ind^terminez ; ou- 


CORNELL  UNIVERSITY. 


55 


vrage  posthume.  Paris,  1707.  40.  ff.  (2),  pp. 

459+,  ff.  (2).  Plates. 

liiicken, . Ueber  Construction  der  Kegel- 

schnitte.  Koln,  [1864].  40.  pp.  19.  Plates. 

Ottemann,  F.  Abriss  der  Theorie  der  Parabel. 
Saarbriicken,  1828.  40.  pp.  35.  Plate. 

Peschke, . Eine  allgemeine  Formel,  oder 

Gleichung  fur  die  Theorie  der  Kegelschnitte  mit 
rechtwinHichen  Coordinaten.  Oppeln,  1850.  4®. 

pp.  19.  Plate. 

Prestel,  M.  A.  F.  Die  Kegelschnitte,  in  ele- 
mentarer  Darstellung  fiir  die  Schule.  Emden,  1868. 
40.  ,f.  (i),  pp.  42.  Plates. 

Puckle,  G.  H.  An  elementary  treatise  on  conic 
sections  and  algebraic  geometry.  4th  ed.  London, 
1870.  80.  pp.  vi.,  f.  (i),  pp.  362. 

Robertson,  A.  Elements  of  conic  sections  de- 
duced from  the  cone,  and  designed  as  an  introduc- 
tion to  the  Newtonian  philosophy.  2d  ed.  Oxford, 
1825.  80.  pp.  xi.,  125.  Plates. 

A geometrical  treatise  of  conic  sections,  in 

four  books ; to  which  is  added,  A treatise  on  the 
primary  properties  of  conchoids,  the  cissoid,  the 
quadratrix,  cycloids,  the  logarithmic  curve,  and  the 
logarithmic,  Archimedean,  and  hyperbolic  spirals. 
Oxford,  1802.  80.  pp.  xii.,  268.  Plates. 

Salmon,  G.  A treatise  on  conic  sections,  con- 
taining an  account  of  some  of  the  most  important 
modern  algebraic  and  geometric  methods.  4th  ed. 
London,  1863.  80.  pp.  xvi.,  362. 

Sarres,  . Geometrische  Untersuchungen 

fiber  Curven  hoherer  Ordnungen  und  Klassen. 
Berlin,  1862.  4®.  pp.  20. 

Simon,  M.  De  relationibus  inter  constantes 
duarum  linearum  secundi  ordinis,  ut  sit  polygonum 
alteri  inscriptum  circumscriptum  alteri.-=— Diss.  inaug. 
Berolini,  [1867].  4®.  pp.  23-)-. 

Simson,  R.  Elements  of  the  conic  sections ; the 
first  three  books  translated  from  the  Latin  original. 
Edinburgh,  1775.  8®.  ff.  (2),  pp.  255.  Plates. 

Same.  Newed.  Glasgow,  1804.  8®.  ff. 

(2),  pp.  284. 

Somerset,  E.  A.  St.  Maur,  \ith  duke  of.  A 
treatise  in  which  the  elementary  properties  of  the 
ellipse  are  deduced  from  the  properties  of  the  circle, 
and  geometrically  demonstrated.  London,  1842. 
8®.  ff.  (3),  pp.  174,  f.  (I). 

Spieker,  T.  Lineare  Construction  der  Kegel- 
schnitte. I^tsdam,  1867.  4®.  f.  (i),  pp.  19. 

Plates. 

Taylor,  C.  Geometrical  conics;  including  an- 
harmonic  ratio  and  projection ; with  examples.  Cam- 
bridge, (f/f.,  1863.  pp.  xii.,  222. 

Walker,  G.  A treatise  on  the  conic  sections. 
London,  1794.  4®.  pp.  x.,  f.  (i),  pp.  218.  Plates. 

Weyland,  J.  Ueber  die  vollstandige  quadrat- 
ische  Gleichung  mit  zwei  Veriinderlichen.  Koln, 
1865.  4®.  f.  (I),  pp.  14. 

i.  Curves. 

1.  Higher  Plane  Curves  in  general. 

BischofT,  J.  N.  Ueber  algebraische  Curven  mit 
Mittelpunkt.  Zweibriicken,  1866.  4®.  pp.  23. 

Dilling,  C.  A.  A.  Aphorismen  aus  der  Differ- 
ential- und  Integralrechnung,  mit  Riicksicht  auf  die 
Lehre  von  den  Kurven.  Miihlhausen,  [1848].  4®. 

pp.  17.  Plate. 

Emerson,  "W.  The  nature  and  properties  of 
curve  lines:  Book  i..  Of  the  conchoid,  cissoid,  cy- 
cloid, quadralix,  logarithmic  curve;  the  spiral  of 


Archimedes,  the  logarithmic  spiral,  the  hyperbolic 
spiral;  Bookii.,  Of  curve  lines  in  general,  and  their 
affections.  [London,  1767?]  8®.  pp.  iv., 

f.  ( I ).  Plates. 

Fresenius,  F.  C.  De  curvarum  algebraicarum 
cuspidibus. — Diss.  inaug.  Marburgi,  1842.  4®. 

pp.  24,  f.  (i).  Plate. 

Frost,  P.  An  elementary  treatise  on  curve  trac- 
ing. London,  1872.  8®.  pp.  xvi.,  208.  Plates. 

Gessner,  T.  Die  reine  Beruhrung  des  zweiten 
Grades.  Gotha,  [1866].  4®.  f.  (i),  pp.  24. 

Hunyady,  E.  von.  Ueber  die  fundamentalen 
Eigenschaften  der  algebraischen  Curven  und  eine 
Eintheilung  der  Linien  III.  und  IV.  Ordnung. — - 
Inaug. -Diss.  Gottingen,  1864.  4®.  pp.  47. 

Ladrasch,  R.  Algebraische  Bestimmung  der 
Tangente,  der  \Yendepunkte  und  des  Kriimmungs- 
kreises  der  algebraischen  ebenen  Curven.  Breslau, 
[1858].  4®.  f.  (i),  pp.  20. 

[L’Hospital,  G.  F.  A.  de,  marquis  de  Sainte- 
Alesme.^  Analyse  des  infiniment  petits,  pour  I’in- 
telligence  des  lignes  courbes.  Paris,  1696.  4®. 

ff.  (9),  pp.  i8i-j-,  f.  (I).  Plates. 

Newton,  Sir  I.  Enumeration  of  lines  of  the 
third  order,  generation  of  curves  by  shadows,  or- 
ganic description  of  curves,  and  construction  of  equa- 
tions by  curves ; translated  from  the  Latin,  with 
notes  and  examples, 'by  C.  R.  M.  Talbot.  London, 
1861.  8®.  pp.  xii.,  f.  (i),  pp.  (7)-i40.  Plates. 

Tractatus  de  quadratura  curvarum  ; explica- 

tionibus  illustratus  a D.  Melander.  Upsaliae,  1762. 
4®.  pp.  1 12.  Plate. 

Two  treatises  of  the  quadrature  of  curves, 

and  analysis  by  equations  of  an  infinite  number  of 
terms,  explained;  containing  the  treatises  them- 
selves translated  into  English,  with  a commentary, 
by  J.  Stewart.  London,  1745.  4®.  pp.  xxxii., 

479,  ff-  (2). 

Raatz,  J.  Axiomata  de  curvis  parallelis  quae 
Steiner  in  Crellii  annalibus,  vol.  xxxii.  proposuit, 
analytice  demonstrantur,  et  amplificantur.  — Diss. 
inaug.  Berolini,  [1861].  4®.  pp.  16,  f.  (i). 

Salmon,  G.  A treatise  on  the  higher  plane 
curves  ; intended  as  a sequel  to  a treatise  on  conic 
sections.  Dublin,  1852.  8®.  pp.  xii.,  316. 

Sarres,  . Geometrische  Untersuchungen 

iiber  Curven  hoherer  Ordnungen  und  Klassen. 
Berlin,  1862.  4®.  pp.  20. 

Ullbrich,  . Ein  Beitrag  zur  Theorie  der 

Asymptoten.  Frankfurt  a.  O.,  1859.  4®.  pp.  16. 

Waldaestel,  H.  1 )e  diametris  curvisque  con- 
jugatis  curvarum  algebraicarum. — Diss.  inaug.  Ber- 
olini, [i860].  4®.  ff.  (2),  pp.  294-. 

Waring,  E.  Miscellanea  analytica  de  sequa- 
tionibus  algel^raicis  et  curvarum  proprietatibus.  Can- 
tabrigioe,  1762.  4®.  ff.  (2),  pp.  iv.,  ff.  (4),  pp. 

162,  f.  (i).  Plates. 

Lettered  “Mathematical  tracts.’’ 

Witt,  J.  de.  Elementa  cvrvarvm  linearvm ; 
edita  opera  F.  d Schooten.  Amstelodami,  1683. 
4«.  PP-  (i53)-340. 

2.  Special  Plane  Curves. 

Brouwer,  S.  De  circulorum  tangentium  cent- 
rorum  situ  in  curvis.  l.ugduni  Batavorum,  1817. 
4®.  pp.  viii.,  52.  Plate. 

Hiilsen,  M.  Discussion  zweier  Curven.  Naum- 
burg  a.  S.,  1849.  4®.  f.  (i),  pp.  17.  Plate. 

Ueber  die  durch  die  Gleichung  cos  my^ 

^ cos  war  ausgedriickte  krumme  Linie.  Naumburg, 
1859.  4®.  f.  (i),  pp.  II.  Plate. 


WORKS  RELA  TING  TO  MA  THEM  A TICS. 


56 


Jakobi,  J.  T.  M.  Specimen  disquisitionis  cur- 
varum,  quae  in  iis  quarti  ordinis  aequationibus  con- 
tinentur,  in  quibus  quantitatibus  variabilibus  x,  y 
pares  tantum  exponentes  tribuuntur.  Vratislaviae, 
[1841].  40.  ff.  (2),  pp.  36,  f.  (i).  Plates. 

Kiepert,  (F.  W.  A.)  L.  De  curvis  quarum 
arcus  integralibus  ellipticis  primi  generis  exprimun- 
tur. — Diss.  inaug.  Berolini,  [1870].  40.  f.  (i), 

pp.  28,  f.  (I). 

Miiller,  . Anwendung  des  Parallelograms 

der  Bewegungen  auf  Untersuchung  einer  Curve. 
Torgau,  1861.  40.  pp.  9.  Plates. 

Ritzefeld,  A.  Bestimmung  einiger  geometris- 
chen  ebenen  Oerter.  Diiren,  1834.  40.  pp.  20. 

Whewell,  W.  On  the  intrinsic  equation  of  a 
curve,  and  its  application.  Cambridge,  1849.  40. 

pp.  15.  Plate. 

“ From  the  Transactions  of  the  Cambridge  philosophical  so- 
ciety, vol.  viii.,  pt.  V.” 

Second  memoir  on  the  intrinsic  equation  of 

a curve  and  its  application.  [Cambridge,  1850.] 
40.  pp.  7.  Plate. 

Bd.  with  the  preceding. 

2>.  Algebraic  Carves. 

Bierens  de  Haan,  D.  Dissertatio  de  lemnis- 
cata  Bernouillana.  Amstelodami,  1847.  40.  If.  (3), 
pp.  109.  Plate. 

Fischer, . Untersuchungen  iiber  die  Conch- 

oide.  Kempen,  1861.  40.  pp.  24.  Plate. 

Klingenstierna,  S.  Analysis  constructionis 
general  is  quadraturte  curvarum  quarum  abscissa  est 
2,  & ordinatae.  [Stockholmiae,  1744.  ] 40.  pp.  (91)- 
iio.  Plates.  (/«  Upsala — Regia  societatis  scien- 
tiarum  Upsaliensis.  Acta.  1740.) 

Bd.  with  Euler’s  “Theoria  motuum.” 

Kiilp,  E.  (J.).  De  curva  focali  regulari. — Diss. 
inaug.  Mannhemii,  1824.  40.  pp.  34.  Plate. 

Prasse,  M.  von.  De  ellipseos  evoluta  et  aequi- 
distantibus  earumque  constructione.  Lipsiae,  [ 1 798] . 
40.  f.  (i),  pp.  14,  Plate. 

Shiitte, . Die  semikubische  Parabel.  Stral- 

sund,  1866.  40.  pp.  18.  Plate. 

Temme,  A.  J.  De  inventione  proprietatibusque 
trium  curvarum  mechanicarum.  Monasterii  Guest- 
phalorum,  1853.  40.  ff.  (2),  pp.  32.  Plate. 

Tielemans,  K.  Commentatio  ad  quaestionum  : 
“Axes  coordinatarum  orthogonalium  sibi  sunt  ad 
perpendiculum  in  puncto  A,  ubi  ponitur  eorum  origo ; 
in  axe  ordinalarum  y inde  a puncto  A sursum  usque 
ad  punctum  P pars  AF=a  capitur ; ex  hoc  deinde 
puncto  F in  axem  abscissarum  x emittitur  linea  recta 
FB,  ad  quam  ex  puncto  intersectionis  B et  axis  ab- 
scissarum perpendicularis  recta  CBD  erigitur : in 
qua  si  utra(jue  ex  parte  sumitur  BC=BD=AB,  ex- 
tremitates  C ct  I)  in  linea  jacent  curva,  cujus  natura 
subsidio  acquationis  inter  coordinatas  exhibitoe  pen- 
itus  est  investiganda.”  [Leovardise.]  n.  d.  40. 
ff.  (2),  pp.  92.  Plates. 

Tobisch,  J.  K.  Abhandlung  iiber  die  Curve, 
deren  Natur  durch  die  Gleichung : y^  = (4ax— 
2x‘‘^)y2—x*  ausgedriickt  wird.  Breslau,  1833.  40. 

f.  (i),  pp.  25.  IVate. 

Weidenmiiller,  C.  Ueber  die  geometrischen 
Oerter  der  Spitze  eines  Dreiecks  von  constanter 
Grundlinie  unter  verschiedenen  Bedingungen.  Ful- 
da, 1868.  f.  (i),  pp.  26.  Plates. 

2''.  Cycloidal  Curves. 

Cramer,  D.  G.  Verhandeling  over  de  cycloTdale 
lijnen.  Schiedam,  1856.  4'h  ff.  (4),  pp.  99. 

Plate. 

Reinmitz, . Ueber  die  zykloidischen  Kur- 


ven  und  ihre  Anwendung  in  der  Physik  und  in  der 
praktischen  Mechanik.  Guben,  [1839].  40.  f.  (i), 
pp.  22.  Plate. 

2U».  Spirals. 

Alewyn,  C.  De  lineis  spiralibus.  Gottingae, 
1808.  40.  pp.  49-j-.  Plate. 

Bothe, . Beitrage  zur  Kenntniss  der  Spir- 

alen.  Dresden,  [1867].  80.  f.  (i),  pp.  80. 

Plate. 

Hausmann,  F.  K.  De  lineis  spiralibus.  Lip- 
siae, 1790.  40.  pp.  24.  Plate. 

Scherling,  C.  Die  Archimedische  Spirallinie. 
Liibeck,  1865.  40.  ff.  (2),  pp.  25.  Plate. 

Caustic  and  Optical  Curves. 

Matthes,  K.  J.  De  invenienda  aequatione  ctus- 
ticarum.  Lugduni-Batavorum,  1837.  40.  pp.  viii., 
68.  Plates. 

Meyer,  (C.  F.?).  Uber  die  Brennlinien,  welche 
durch  die  Zuriickwerfung  des  Lichtes  von  Curven  der 
zweiten  Ordnung  entstehen.  Potsdam,  1838.  40. 

f.  (I),  pp.  26. 

Moseley,  H.  On  caustics.  [London,  1827.] 
8®.  pp.  263-271. 

From  the  Philosophical  magazine,  ii.,  1827. 

Lettered  “ Mathematical  tracts.” 

Paezkowski,  I.  Geometrische  Eigenschaftea 
des  Bildes  unter  Wasser  gelegener  Curven.  Gnesen, 
1869.  40.  f.  (i),  pp.  20. 

Curves  defined  by  Maximum  or  Minhnu7n  Properties. 

Euler,  L.  Methodus  inveniendi  lineas  curvas 
maximi  minimive  proprietate  gaudentes,  sive  soluto 
problematis  isoperimetrici  latissimo  sensu  accepti. 
Lausannse,  ^/c.,  1744.  40.  pp.  322,  f.  (i).  Plates. 

Kiessling,  F.  G.  Discussion  der  Curve,  derea 
Tragheitsmoment  ein  Maximum  oder  Minimum  ist. 
Berlin,  1866.  40.  f.  (i),  pp.  47. 

3.  Curves  of  Double  Curvature. 

Clairault,  A.  C.  Recherches  sur  les  courbes  a 
double  courbure.  Paris,  1731.  4<^.  ff.  (4),  pp. 

1 19,  f.  (i).  Plates. 

Gies,  W.  De  helicibus  quae  superficiebus  rota- 
tione  sectionis  conicae  genitis  inscribuntur. — Diss. 
Inaug.  Marburgi,  1842.  40.  f.  (i),  pp.  43-I-. 

Plate. 

Janisch,  O.  K.  F.  Notio  punctorum  inflexionis 
quae  constituitur  pro  curvis  planis  qua  ratione  ex- 
tendenda  sit  in  curvas  duplo-curvatas. — Diss.  inaug. 
Berolini,  [1853].  40.  pp.  21-f-,  f.  (i). 

Perger,  A.  C.  De  curva  catenaria  sphaerica 
parabolica. — Diss.  inaug.  Berolini,  [1838].  40. 

f.  (i),  pp.  30.  Plate. 

Schell,  W.  Allgemeine  Theorie  der  Curven 
doppelter  Kriimmung  in  rein  geometrischer  Darstel- 
lung.  Leipzig,  1859.  8®.  ff.  (3),  pp.  106. 

j.  Parallel  Lines. 

[Kircher,  A.  ] Nouvelle  theorie  des  paralRles ; 
avec  un  appendice  conlenant  la  mani^re  de  perfec- 
tionner  la  theorie  des  paralDles  de  A.  M.  Legendre. 
Paris,  1803.  8”.  pp.  64.  Plate. 

Signed  ‘‘  A.  Kircher,”  but  incorrectly  attributed  to  Legendre 
by  the  Michaud  “Biographic  universelle,”  Querard,  and  other 
authorities. 

Lettered  “ Puissant — Legendre — Briot.” 

Lotz, . Ueber  die  Theorie  der  Parallelen. 

Fulda,  1862.  40.  f.  (i),  pp.  36.  Plate. 

Muller,  C.  R.  Theorie  der  Parallelen.  Mar- 
burg,  [1822].  40.  f.  (i),  pp.  40.  Plates. 


CORNELL  UNIVERSLTY. 


57 


Wahl,  F.  W.  L.  Dissertatio  mathcmatica  syni- 
bolas  ad  epicrisin  Iheoriarum  parallelas  spcctantium 
continens.  lenae,  [1823].  40.  f.  (1),  pp.  44,  f. 

a).  R/a^e. 

k.  Polyedrons. 

Bahrdt, . Beitrage  zur  Lehre  von  den  reg- 

ularen  Korpern.  Molheim  a.  d.  Ruhr,  1838.  40. 

pp.  20.  Plate. 

Hermes,  (E.  S.  T. ) O.  Satze  iiber  Tetraeder, 
welche  dem  von  Desargues  iiber  ebene  Dreiecke 
analog  sind.  Berlin,  1856.  4°.  f.  (i),  pp.  25. 

Lankeren  Matthes,  D.  van.  Commentatio  ad 
quaestionem : “ Singulis  costis  tetraedri  irregularis 
magnitudine  datis,  omnes  anguli  positionis  planorum 
lateralium  et  distantiae  inter  cuspides  angulorum 
solidorum  et  plana  lateralia  obversa  determinentur 
turn  constructione  geometrica,  turn  arithmetices  uni- 
versalis auxilio.  Deinde  si  plana  lateralia  tetraedri 
versus  omnes  plagas  in  infinitum  producta  sint  nu 
merus  sphaerarum  definiatur  quae  haec  plana  later- 
alia tarn  interne  quam  externe  tangent,  turn  etiam 
radii  harum  sphaerarum  et  constructione  et  compu- 
tatione  determinandi  sunt  eorumque  mutua  ratio 
investiganda.”  [Lugduni  Batavorum,  1836.]  4®. 

pp.  33.  Plate. 

Muller,  J.  H.  T.  De  polygonis  solidis  et  poly- 
edris  simplicibus.  Gothae,  n.  d.  40.  f.  (i),  pp.  18. 

Verdam,  G.  J.  Commentatio  ad  quaestionem  : 
“Quaeritur  invenire  angulos,  inter  plana,  linea  recta 
sibi  contigua,  et  corporum  regularium  superficiem 
constituentia,  interceptvs,  atque  ex  hoc  problemate, 
ratione  geometrica  et  analytica,  ed  consectaria  col- 
ligere,  quae  ad  soliditatem  variorum  corporum  in- 
veniandam  conducant.”  Groningae,  1824.  4®.  pp. 
79.  Plates. 

Wackernagel,  P.  Ueber  die  Zerlegung  des 
Icosaeders  in  fiinf  Tetraeder.  Elberfeld,  i^i.  40. 
pp.  II.  Plates. 

1.  Polygons. 

Broager,  P.  D.  Nogle  Formler  henhorende  til 
de  regulaire  I’olygoner.  Roskilde,  [1850].  8“. 

f.  (i),  pp.  17. 

Dilling,  (C.  A.  A.).  Aufgaben  iiber  das  sym- 
inetrische  Baralleltrapez  oder  das  Antiparallelo- 
gramm.  Muhlhausen,  1865.  40.  f.  (i),  pjr.  25. 

Fliigel,  J.  G.  B.  Kinige  .Siitze  iiber  halbreguliire 
Bolygone.  llalberstadt,  [1831].  40.  f.  (i),  pp. 

32.  Plate. 

Gessner,  T.  (G.b  Combinalionen  und  Reihen 
in  den  Vielecken.  Gotha,  [1859].  4®.  pp.  29. 

Das  Deltoid.  Gotha,  [1864].  40.  f.  (i), 

pp.  29,  Jdates. 

Jacobi,  C.  F.  A.  Commentatio  geometrica  de 
quadrangulis.  Naumburgi,  1837.  40.  f.  (i),  i)p. 

41.  J dates. 

EUetke,  C.  A.  De  polygonorum  regularium 
aequationibus.  Lib.  ii.  Vratislaviae,  [1833J.  4^. 

f.  (1),  pp.  iv.,  f.  (I),  pp.  (35)'-74.  (I)- 

Lontetits  ; — De  soliilioiie  aeciuationuni  quibus  polygonorum 
regularium  latera  et  diagonalcs  cletcrminautur. 

Mollmaiin,  B.  Das  regelmiissige  Siebzehneck. 
Rosttjck,  1863.  40.  pp.  22.  Plates. 

Mueller,  J.  H.  T.  Cber  die  symmetrischen 
Krcisvielecke  von  ungerader  Seitenzalil.  Gotha, 
1840.  4‘>.  f.  (i),  pp.  13.  Plate. 

Ofterdinger,  L.  F.  Beilriige  zur  Wicderherstel- 
lung  der  Sclirift  des  Kuklides  iiber  die  Theilung  der 
Kiguren.  Ulm,  1853.  40.  IT.  (2),  pp.  16.  Plate. 


Piani,  D.  Principj  di  poligonometria  analitica. 
Bologna,  [1833].  4®*  PP-  72*  Plates. 

m.  Quadrature  of  the  Circle. 

Ekeroth,  C.  E.  C.  En  elementair  Rtekke  for 
It.  liorsens,  [1858].  80.  pp.  12.  Plate. 

Fleming,  P.  Geometrical  solutions  of  the  quad- 
rature of  the  circle.  Montreal,  1850.  fo.  ff.  (3), 
pp.  10.  Plates. 

Leibnitz,  (G.  W.).  De  quadratura  arithmetica 
circuli,  ellipseos  et  hyperbolas ; nach  den  Hand- 
schriften  der  koniglichen  Bibliothek  zu  Hannover 
herausgegeben  von  C.  I.  Gerhardt.  Eisleben,  1858. 
40.  pp.  33.  Plates. 

Longomontanus,  C.  S.  Rotundi  in  piano,  seu 
circuli,  absoluta  mensura,  duobus  libellis  compre- 
hensa.  Amsterdami,  16.^.  40.  ff.  (6),  pp.  72. 

Bd.  with  Schooten's  “ Principia  matheseos  universalis.” 

Montucla,  (J.  E.).  Histoire  des  recherches 
sur  la  quadrature  du  cercle ; avec  une  addition  con- 
cernant  les  problemes  de  la  duplication  du  cube  et 
de  la  trisection  de  Tangle.  Nouv.  ed.  Paris,  1831. 
80.  pp.  xvi.,  300.  Plates. 

The  editor’s  preface  is  signed  “L.  c.”  (S.  F.  Lacroix). 

Vorsselman  de  Heer,  P.  O.  C.  Responsio 
ad  quaestionem:  “ Detur  succincta  expositio  prae- 
cipuarum  methodorum,  quae  ad  circuli  quadraturam 
ducunt.”  Groningae,  1832.  40.  pp.  81.  Plates. 

n.  Spheres. 

Gorgas,  R.  Ueber  die  Analysis  auf  der  Kugel. 
Magdeburg,  1847.  3 pts.  40.  Plate. 

Stegmann,  F.  L.  De  nova  quadam  methodo 
quadrandi  areas  figurarum  in  sphaera  descriptarum. 
— Diss.  inaug.  Marburgi,  1S40.  40.  pp.  16. 

Walker,  G.  On  the  doctrine  of  the  sphere. 
London,  1777.  4‘>.  pp.  (iii.)-xii.,  338,  1.  (i). 

Plates. 

o.  Surfaces  {higher  or  general). 

Ackermann,  C.  C.  Ueber  Inhalt  und  Ober 
flache  von  Rotationskorpern. — Inaug. -Diss.  Mar- 
burg, 1864.  4‘».  pp.  15.  Plate. 

August,  F.  (W.  O.).  Disquisitiones  de  super- 
ficiebus  tcrtii  ordinis.  — Diss.  inaug.  Berolini, 
[1862].  4“.  pp.  39+. 

Baum,  T.  (L.)  R.  De  superficiebus  orientibus 
motu  rectoe  lineoe  quye  abscissarum  piano  parallela 
per  lineam  rectam  in  abscissarum  piano  perpendicu- 
iarem,  et  per  lineas  secundi  gradus  ducitur.  Vratis- 
laviaj,  [1842].  8“.  f.  (i),  jjp.  28,  f.  (i). 

Behlau,  A.  Ueber  die  Kurven,  welche  die  Tan- 
gcntialebenen  mit  einer  Llache  gemein  haben.  Ilei- 
ligenstadt,  1854.  4“.  pp.  26. 

Brutkowski,  J.  Disfjuisitio  analytica  tritim 
theorematum  in  Crellii  diani  volio  xviii.  ab  Stein- 
er j)ropositorum,  ad  areas  ctirvarum  revolutarum 
spectantium. — Diss.  inaug.  Berolini,  [1859.]  40. 
pp.  18,  f.  (i). 

Childe,  G.  F.  Singular  properties  of  the  ellip- 
soid, anti  associated  surfaces  of  the  wth  degree. 
Cajie  Town,  etc.,  1861.  j)p.  xi.-f-.  152.  Plate. 

Dornheim,  F.  De  singularitatibtis  stiperficicr- 
um.  Bonnae,  1840.  4‘*.  ff.  (2),  pp.  14,  f.  ( i ). 

Drobisch,  M.  W.  Ztisatze  ztim  llorentiner 
Problem.  [I.eipzig,  1852.  ] 4“.  p|).  (43i)-482. 

J'late.  {In  Kbii.  sachsische  Gesellschaft  der 
Wissenschafteii.  Abhandlungen  der  mathe- 
matische-i)hysischen  Classe,  i.) 

Duda,  T.  Abhandlung  aus  der  Geometrie  der 


58 


WORKS  RELA  TING  TO  MA  THEM  A TICS. 


] iige,  betreffend  die  Construction  von  Normaleben- 
cn  gewisser  Oberflachen  und  Curven.  Brieg,  [1867]. 
40.  pp.  13. 

Faure,  H.  Theorie  des  indices.  Paris,  1878. 
8°.  pp.  21 1. 

Fischer,  G.  E.  De  superficierum  pedalium 
theorematibus  quibusdam. — Diss.  inaug.  Berolini, 
[1859].  40.  pp.  27-I-.  Plate. 

Fuchs,  L.  De  superficierum  lineis  curvaturse. — 
Diss.  inaug.  Berolini,  1858.  40.  ff.  (3),  pp.  18, 

f.  (I). 

Joachimsthal,  F.  Memoire  sur  les  surfaces 
ccurbes.  Berlin,  [1848].  40.  pp.  20. 

Luchterhandt,  A.  R.  Analytisch-geometrisclie 
Untersuchung  einer  algebraischen  Flache  vierten 
Grades.  Berlin,  1861.  40.  pp.  14. 

Meyer,  (C.  F.).  Die  windschiefe  Flache.  Pots- 
dam, 1853.  40.  f.  (I),  pp.  13. 

Quapp,  A.  Ueber  die  krummen  Flachen,  welche 
ein  System  von  Kriimmungslinien  in  parallelen 
Ebenen  haben.  Minden,  1864.  40.  pp.  12. 

Schell,  W.  Ueber  Abwickelung  einfach  krum- 
mer  Flachen. — Inaug. -diss.  Marburg,  1851.  40. 

pp.  42,  f.  (I). 

Schumann,  A.  Untersuchungen  fiber  Fuss- 
punktenflachen.  Brandenburg,  1863.  40.  f.  (i), 

pp.  12. 

Schwarz,  K.  A.  A.  De  superficiebus  in  plan- 
am  explicabilibus  primorum  septem  ordinum. — Diss. 
inaug.  Berolini,  [1864].  40.  pp.  24. 

Simon,  E.  O.  A.  Ueber  ebene  und  spharische 
Krummungslinien.  Glogau,  1861.  40.  pp.  18. 

Sturm,  R.  Synthetische  Untersuchungen  fiber 
h'lachen  dritter  Ordnung.  Leipzig,  1867.  8®.  pp. 

XX.,  388. 

Uth,  C.  Die  Flache,  welche  durch  Rotation 
eines  Kreises  um  eine  beliebige  Axe  entsteht.  Ful- 
da, 1865.  40.  f.  (i),  pp.  13.  Plates. 

p.  Tangencies. 

Adams,  C.  Das  Malfattische  Problem  neu 
gel5st.  Winterthur,  1846.  40.  pp.  24.  Plate. 

Frosch,  C.  Ueber  die  Beriihrung  der  Kegel- 
schnitte  mit  dem  Kreise.  Schneidemuehl,  1867. 
40.  pp.  xii. 

Ottemann,  F.  Einige  Satze  fiber  die  Tangent- 
cn  der  Ellipse.  Saarbrficken,  1832.  40.  pp.  24. 

Plate. 

Ritzefeld,  A.  Verschiedenartige  allgemeine 
Auflosungen  einiger  Berfihrungsaufgaben  und  An- 
wcndung  derselben  zur  Ableitung  einiger  Satze  fiber 
die  Durchschnittspunkte  zweier  oder  mehrerer  sich 
schneidenden  Parabeln.  Dfiren,  1846.  40.  f.  (i), 

pp.  9. 

Zirkel,  P.  J.  Behandlung  einiger  Falle  der  Auf- 
gabe  fiber  die  Berfihrungen.  Bonn,  1827.  40.  pp. 

iv.,  22.  Plates. 

Ein  Supplement  zum  Tactionen-Problem. 

[Bonn,  1849.]  4«.  f.  (i),  pp.  20.  Plate. 

q.  Triangles. 

{See  also  Trigonometry.) 

Auth,  (E.).  Ueber  den  durch  die  Fusspunkte 
der  Dreieckshohen  bestimmten  Kreis  und  eine  ent- 
sprechende  Kugel  beim  Tetraeder.  Cassel,  1867. 
8‘\  f.  (i),  pp.  16.  Plate. 

Copernicus  {Polish  Koppemigk),  N.  De  lat- 
erijbvs  et  angvlis  trijangulorum,  turn  planorum  rec- 
lilineorum,  | inm  .Spnaericoriim.  . Additus  est 


Canon  semisium  subten|sarum  rectarum  linearum  ' 
in  Circulo.  | Excusum  Vittembergre  per  | lohannem 
Lufft.  I Anno  M.D.XLII.  40.  ff.  (29).  2.  Tables 

Illustrated  with  figures  printed  on  the  margins. 

Emsmann,  G.  Ueber  einen  merkwfirdigen 
Punkt  im  Dreiecke.  Halle,  1854.  80.  pp.  33. 

Plate.  {Pi  his  Mathematische  Studien  ffir  die 
Zwecke  der  Schule,  2^8  Heft.) 

Gandtner, . Ueber  Parallel-  und  Gegen- 

transversalen  im  geradlinigen  Dreieck.  Greifswald, 
[1852].  40.  f.  (i),  pp.  22.  Plate. 

Gerber,  . Allgemeines  Gesetz,  wie  man 

den  Inhalt  und  die  Seiten  eines  Dreiecks  aus  Trans- 
versalen  finden  kann ; [und]  Bestimmung  der  Erd- 
achsen  aus  der  Polhohe.  Berlin,  1833.  40.  f.  (i), 
pp.  10. 

Grebe,  E.  W.  Beitrage  zur  Lehre  vom  dem 
geradlinigen  Dreieck.  Cassel,  1862.  40.  f.  (i), 

pp.  16. 

Ffinfzig  Aufgaben  fiber  das  geradlinige 

Dreieck,  trigonometrisch  gelost.  Cassel,  1865.  40. 

f.  (i),  pp.  13. 

Eine  Gruppe  von  Aufgaben  fiber  das  gerad- 
linige Dreieck.  Marburg,  1856.  40,  f.  (i),  pp.  32. 

Harnischmacher,  (F.  J.).  Einige  Dreiecks- 
constructionen,  wenn  drei  hervorragende  Punkte 
des  Dreiecks  gegeben  sind.  Brilon,  1863.  40.  pp. 

II.  Plates. 

Jacobi,  C.  F.  A.  Die  aussern  Entfernungsorter 
geradliniger  Dreiecke.  Naumburg,  1854.  40.  f.  (i), 
pp.  73.  Plates. 

Janisch,  CO.  K.  F.).  Beitrag  zu  den  harmon- 
ischen  Eigenschaften  des  geradlinigen  Dreiecks. 
Frankfurt  a.  O.,  [1861].  40.  f.  (i),  pp.  22.  Plate. 

Leybourn,  W.  Mathematical  institutions  : 

i.  Clavis  ) ( key, 

ii.  Janua  > the  < gate, 

iii.  Ancilla  ) ( hand-maid, 

to  the  mathematical  sciences ; wherein  the  doctrine 
of  plane  and  spherical  triangles  is  handled.  Lon- 
don, 1704.  40.  ff.  (6),  pp.  366.  Plates. 

Michaelis,  W.  J.  H.  Ueber  einige  merkwfir- 
,dige  Puncte  im  Dreiecke.  Leipzig,  1833.  40.  pp. 

25.  Plate. 

Mink,  W.  Die  Centralen  des  einem  Dreieck 
um-  und  der  ihm  eingeschriebenen  Kreise.  Crefeld, 
1866.  40.  pp.  15.  Plate. 

Muller,  J.  H.  T.  Ueber  die  Schwerpuncte  der 
Seitcnquadrate  des  geradlinigen  Dreiecks.  Naum- 
burg a.  S.,  1835.  40.  f (i),  pp.  20.  Plate. 

Niegemanii,  A.  Zur  Theorie  der  Dreiecks- 
Transversalen.  Koln,  1864.  40.  f (i),  pp.  18. 

Plate. 

Regiomontanus  Monteregio  {Germ.  Miil- 
ler),  J.  . . . De  Triangvlis  omni|modis  libri 
qviiKjve  I . . . Accesserunt  hue  in  calce  pleraqg 
D.  Nicolai  Cusani  de  Qua|dratura  circuli,  Decj  recti 
ac  curui  commensuratione : | item'q?  lo.  de  monte 
Regio  eadem  de  re  eXEyvr7\Hd , hactenu.'-  a nemine 
publicata.  I . • . Norimbergoe  in  aedibus  lo.  Pe- 

trei.  I . . . M.D.XXXIH. 

Bd.  with  Feuerbach’s  “Theoricarum  nouarum.” 

Richter,  A.  Trigonometrische  Auflosung;  ein- 
iger Aufgaben  fiber  das  geradlinige  Dreieck.  Elb- 
ing,  1833.  40.  pp.  27. 

Wiegand,  A.  Die  merkwfirdigen  Punkte  des 
Dreiecks  mit  Rficksicht  auf  harmonische  Theilung. 
26  Aufl.  Halle,  1848.  8®.  f (i),  pp.  92.  Plate. 

Trigonaltriaden  in  arithmetischer  und  har- 

monischcr  Progression.  Halle,  i8‘io.  4°.  f.  (i)i 
pp.  16. 


CORNELL  UNIVERSITY. 


59 


Horology. 

{See  also  Machinery.) 

Booth,  Mary  L.  New  and  complete  clock  and 
watchmakers’  manual ; compiled  from  the  French, 
with  an  appendix  containing  a history  of  clock  and 
watchmaking  in  America.  New  York,  1877.  120. 

pp.  xvii.,  294.  Plates. 

Schwilgue,  C.  Description  abr6g^e  de  I’hor- 
loge  astronomique  de  la  cathedrale  de  Strasbourg. 
6e  ed.  Strasbourg,  1856.  120.  pp.  66.  Plate. 

Imaginaries,  Quaternions,  Equipol- 
lences,  Geometric  and  Multiple 
Algebras. 

{See  also  Algebra  and  Functions.) 

Bellavitis,  G.  Intorno  ad  alcune  question!  di 
mathematica-pura  elementaire.  [Venezia,  i860.] 
80.  pp.  45- 

“ Estr.  dal  vol.  vi.,  serie  iii.,  degli  Atti  dell’  istituto”  [veneto 
di  scieiize,  lettere  ed  arti]. 

A bibliography  of  Bellavitis  accompanies  this  pamphlet  (80. 

pp.  4). 

Saggio  sull’  algebra  degli  immaginarii. 

Venezia,  1852.  40.  pp.  104.  Plate. 

“ Inserito  nel  vol.  iv.  delle  Memorie  dell’  I.  R.  istituto  veneto 
di  scienze,  lettere  ed  arti.” 

Bubendey,  G.  H.  Ueber  die  raumliche  Dar- 
stellung  der  imaginaren  Grossen  der  Analysis.  Ham- 
burg, 1854.  40.  f.  (i),  pp.  53. 

Buch,  J.  P.  Om  afvigende  Storrelser.  Nyki- 
obing,  [1852].  80.  pp.  viii.,  20. 

Duport, . Sur  un  mode  particulier  de  rep- 
resentation des  imaginaires.  Paris,  1880.  40,  pp. 

301-362. 

“ Extraite  du  Ann.  de  r^cole  normale,  2«  serie,  t.  ix.,  Sept. 
1880.” 

Faure,  A.  Essai  sur  la  th^orie  et  I’interpreta- 
tion  des  quantites  dites  imaginaires. — Premier  m^- 
moire.  Paris,  1845.  8®.  ff.  (3),  pp.  96. 

Hamilton,  .9/>  W.  R.  Elements  of  quaternions ; 
edited  by  W.  E.  Hamilton.  London,  1866.  8<>. 

pp.  vi.,  {.  (i),  pp.  lix.,  762. 

Lectures  on  quaternions : containing  a stated 

ment  of  a new  mathematical  method, — the  subject 
of  lectures  delivered  in  1848  and  subsequent  years  in 
Trinity  college,  Dublin.  Dublin,  etc.,  1853.  8". 

(3)»  pp.  64,  (ix.)-lxxii.,  736,  f.  (i). 

Hankel,  H.  Theorie  der  complexen  Zahlcnsys- 
teme,  insbesondere  der  gemeinen  imaginaren  Zahlen 
und  der  Hamilton’sehen  (]uaternionen  nebst  ihrer 
geometrischen  Darstellung.  Leipzig,  1867.  8®. 

pp.  xii.,  196.  {In  his  Vorlesungen  iiber  die  com- 
plexen  Zalilen,  i.  Theil.) 

Laisant, . Theses  pr^sent^cs  h la  faculte 

des  sciences  de  Paris  pour  obtenir  le  grade  de  doc- 
teur. — I'^th^se:  Applications  m^cani(jues  du  calcul 
des  qual  rrnions ; 2^  these : .Sur  un  nouveau  mode 
de  transformation  des  courbes  et  des  surfaces.  Paris, 
1877.  40.  pp.  133. 

Paterson,  J.  The  calculus  of  operations.  Al- 
bany, 1850.  8<*.  pj).  viii.,  154.  Plates. 

Peirce,  B.  Linear  associative  algebra.  Wash- 
ington, 1870.  40.  f.  (i),  pp.  153. 

Read  before  the  National  academy  of  sciences. 

Lithographed. 

Scheffler,  (A.  C.  W.)  H.  r)er  Situations- 
kalkul ; Versuch  einer  arithmetischen  Darstellung 
der  niederen  und  hoheren  Geometrie  auf  Grund 
einer  abstrakten  AfTassung  der  raumlichen  (irossen, 
Eormen  und  Bewegungen.  Braunschweig,  1851. 
80.  pp.  xiv.,  f.  (i),  pp.  404. 


Sperling,  (J.  G.  A.).  Ueber  die  Conformitiit 
der  unmoglichen  oder  imaginaren  Grossen  iiber- 
haupt,  und  iiber  die  Unveriinderlichkeit  der  Form 
a-\-b\/ — I.  [Gumbinnen,  1827.]  40.  pp.  43. 

This  copy  lacks  pp.  9-24. 

Tait,  P.  G.  An  elementary  treatise  on  quater- 
nions. Oxford,  1867.  80.  pp.  xviii.,  f.  (l),  pp.  320. 

Valles,  F.  Des  formes  imaginaires  en  algdbre; 
leur  interpretation  en  abstrait  et  en  concret.  Paris, 
1869.  80.  pp.  xiv.,  306,  f.  (i). 

Latitude  and  Longitude. 

{See  also  Navigation  and  Spherical  and  Prac- 
tical Astronomy.) 

Baily,  F.  On  the  new  method  of  determining 
the  longitude  by  the  culmination  of  the  moon  and 
stars;  [with]  an  appendix  and  a list  of  stars.  T on- 
don,  1824.  40.  f.  (i),  pp.  48. 

Lettered  “ Papers  on  astronomy.” 

[Eastman,  J.  R.  ] Report  on  the  determina- 
tion of  the  longitude  of  the  Cincinnati  observatory  at 
iVIount  Lookout,  Hamilton  county,  Ohio.  {Append- 
ed to  U.  S.  naval  obseivatory.  Wash.,  D.  C. 
Astronomical  and  meteorological  observations  made 
during  1877;  Washington,  1881,  40,  iv. ) 

Report  on  the  difference  of  longitude  be- 
tween the  U.  S.  naval  observatory  and  the  Sayre 
observatory  of  Lehigh  university.  Washington, 
1878.  {Appended  to  U.  S.  naval  observatory. 
Wash.,  D.  C.  Astronom.  and  meteorol.  observa- 
tions made  during  1875;  Washington,  1878,  40,  i.) 

Report  on  the  difference  of  longitude  be 

tween  Washington  and  Detroit,  Mich.  ; Carlin,  Ne 
vada;  and  Austin,  Nevada.  {Appended  to  U.  S. 
naval  observatory.  Wash.,  D.  C.  Astronom. 
and  meteorol.  observations  made  during  1872;  Wash- 
ington, 1874,  4f>,  ii.) 

Report  on  the  difference  of  longitude  between 

Washington  and  Ogden,  Utah.  {Appended  to  U.  S. 
naval  observatory,  IVash.,  I).  C.  Astronom. 
and  meteorol.  observations  made  during  1874; 
Washington,  1877,  4‘>,  ii.) 

, and  H.  S.  Pritchett.  Longitude  of  the 

Morrison  observatory,  Glasgow,  Mo.  {elppended 
to  U.  S.  Naval  observatory.  Wash.,  D.  C.  As- 
tronom. and  meteorol.  observations  made  during 
1877;  Washington,  1881,  4*’,  v. ) 

Harkness,  W.  Report  on  the  difference  of 
longitude  between  Washington  and  Havana.  {Ap- 
pended to  U.  S.  naval  observatory.  Wash.,  D.  C. 
Astronom.  and  meteorol.  observations  made  during 
1867;  Washington,  1870,  4**,  i.) 

Klinger,  K.  F.  A.  Longitudo  observatorii  Vrat- 
islaviensis  derivata  e stellarum  fixarum  occultationi- 
bus.  Vratislaviae,  [1861].  4'*.  pp.  20,  f.  (i). 

Mackay,  A.  The  theory  and  practice  of  find- 
ing the  longitude  at  sea  or  land:  [and]  various 
methods  of  determining  the  latitude  of  a place,  and 
variation  of  the  compass.  2d  ed.  Aberdeen,  1801. 
2 V.  8'».  Plates. 

Newcomb,  S.  Investigation  of  the  latitude  and 
longitude  of  the  U.  .S.  naval  observatory,  Washing- 
ton, and  of  the  declinations  of  certain  circum|)olar 
stars.  {In  U.  S.  naval  obseivatory,  Wash., 
D.  C.  Astronom.  and  meteorol.  observations  made 
during  1864;  Washington,  1866,  40.) 

Riddle,  E.  Remarks  on  Mr.  Meikle’s  pajier  on 
finding  the  longitude  by  lunar  observations.  [Lon 
don,  1819.]  8*'.  ])]).  241-252. 

Philosophic.^l  nKigazine,  vol.'liv.,  no.  258,  Oct.  1819. 

Lettered  Mathematical  pamphlet.s. 


6o 


WORKS  RELATING  TO  MATHEMATICS. 


Verdam,  G.  J.  Conimentatio  ad  qua-stionum : 

“ Data  duorum  locorum  differentia  latitudinis  et  linea 
loxodromica,  invenire  differentiam  longitudinis  eorun- 
dem.”  [Gandavi,  1823.]  40.  pp.  56.  Plates. 

Logarithms. 

{See  also  Algebra  and  Trigonometry^ ) 

Artur,  J.  F.  Instruction  theorique  et  applica- 
tions de  la  regie  logarithmique  ou  a calculs.  ed. 
Paris,  1845.  80.  pp.  vii.,  118.  Plate. 

Loof, . Ueber  die  differenzen  der  Logarith- 

men,  der  trigonometrischen  Functionen  und  der  Lo- 
garithmen  der  trigonometrischen  Functionen.  So- 
rau,  [1830].  40.  pp.  II. 

Maseres,  F.,  editor  and  compiler.  Scriptores 
logarithmici ; or,  A collection  of  several  curious 
tracts  on  the  nature  and  construction  of  logarithms, 
together  with  some  tracts  on  the  binomial  theorem 
and  other  subjects  connected  with  the  doctrine  of 
logarithms.  Vol.  i.,  ii.,  v.,  vi.  London,  1791- 
1807.  4 V.  40. 

A collection  of  the  tracts  on  the  doctrine  of  logarithms  men- 
tioned in  C.  Hutton’s  historical  introduction  to  his  edition  of 
Sherwin’s  “Mathematical  tables”,  London,  1785. 

Contents:  — i.  Hutton,  C.  [Introduction,  on  Trigonomet- 
rical tables,  History  of  logarithms,  and  Construction  of  loga- 
rithms.]— Kepler,  J.  Chilias  logarithmorum  [et  supplemen- 
tum].  — Mercator,  N.  Logarithmo-technia. — Ricci,  M.  A. 
Exercitatio  geometrica  de  maximis  et  minimis. — Brouncker, 
W.,  visconnt  Brotincker.  The  squaring  of  the  hyperbola. — 
Wallis,  J.  An  account  of  N.  Mercator’s  Logarithmico- 
technica.  — Method  of  finding  the  sums  of  logarithms. 

— Mercator,  N.  Illustration  of  the  Logarithmico-technia. — 
Maseres,  F.  Remarks  on  the  two  foregoing.ihfinite  serieses 
[with  Appendix]. — ii.  Gregory,  J.  Extracts  from  This]  Ex- 
ercitiones  geometricae.  — [Extracts  from  letters  by  J.  Cregor>% 
Sir  Isaac  Newton  and  G.  W.  Leibnitz.]  — Wallis,  J.  12th 

chap,  of  Treatise  on  algebra. — Letter  concerning  the 

collection  of  secants  and  the  true  division  of  the  meridians.  — 
Speidell,  E.  Logarithmotechnia. — Halley,  E.  Demonstra- 
tion of  the  analogy  of  the  logarilhmick  tangents  to  the  meridian 

line. — Method  of  constructing  logarithms. — Maseres, 

F.  Notes  on  the  foregoing  [with  Appendix]. — Dem- 

onstration of  Newton’s  binomial  theorem.  — Landen,  J.  Same. 

— Maseres,  F.  Explanation  of  the  foregoing  demonstration. 

— The  binomial  theorem  in  the  case  of  fractional  pow- 
ers. — Newton’s  residual  theorem.  — Method 

of  extending  Cardan’s  rules  for  resolving  cubick  equations.  — 

Conjecture  concerning  the  discoverj”^  of  Cardan’s  rules 

by  Scipio  Ferreus  of  Bononia.  — Appendix  to  the  tract 

on  Newton’s  binomial  theorem. — v.  Preface.  — Maseres,  F. 
Newton’s  binomial  theorem  in  the  ca.se  of  reciprocals  of  the 
roots  of  a binomial  quantity. — Hales,  W.  Analy.sis  fluxion- 
urn. — Glenie,  J.  Demonstration  of  Newton’s  binomial  the- 
orem.— Halley,  E.  Compound  interest. — Maseres,  F. 
Notes  and  appendix  on  the  foregoing.  — Moivre,  A.  de.  Let- 
ter on  the  foregoing.  — Robertson,  J.  Investigations  of  twen- 
ty cases  of  compound  interest.  — Jones,  W.  Theorems  on 

compound  interest.  — Same  ; from  Dodson’s  Anti-log- 

ariihmick  canon.  — Questions,  with  solutions,  relating  to  com- 
pound interest  and  annuities.  — Ward,  J.  Extracts  from  [his] 
Young  mathematician’s  guide. — Clavis  usurm. — Ma- 
seres, F.  Appendix  to  the  foregoing.  — Corrections 

and  additions  to  Hales’s  Analysis  fluxionum. — vi.  Preface. — 
Mackay,  A.  Examination  of  Maseres’s  solution  of  Bougtier’s 

example  to  Halley’s  problem. — Indirect  method  of 

solving  Halley’s  problem.  — Maseres,  F.  Remarks  on  Glenic’s 
problem. — Manning,  T.  I nve.stigation  of  the  differential 

l>.r  Ilxi  ^ 

senes  a : — , ,—k.c.  an  i7ifin.  — Simpson, 

i-f-r  (i+-r)3 

R.  De  logarithmis  — De  limitibus  qiiantitatum  et  ra- 

tionum. — Huygens,  C.  De  determinatione  qiiantitatum  max- 
imariim  et  miiiimarum. — Maseres,  F.  Additaincntiim  ad 

praicedcntcm.  — Alia  methodus  inveniendi  maximos 

valores  qiiantitatum. — Frend,  W.  Invcstigatio  maxinii  val- 
oris  quern  quantitas  binomia  qx — habere  possit  dum  quan- 
titas  X crcscit  a nihilo  usque  atl  ^ q,  sen  dum  xx  crescit  k ni- 
hilo  ad  q. — Beaune,  F.  de.  Dc  limitibus  aequationum;  edi- 

tus  ab  E.  Bartholino. — Recensio  limitum. — Maseres, 

F.  FNcmpla  [8]  qiiaedam  resolutionis  aiquationum  mimer- 
aliiim,  cubicarum  et  biquadraticariim,  per  methodiim  approxi- 
mationis  k [.  Raphson  tradit.im.  — Ivory,  J.  Method  of  ascer- 
tiiining  the  degree  of  exactness  of  a root  obtained  by  Raph.son’s 
me  hod  of  approximation. — Solution  of  'l  itus’s  arith- 

metical problem. — Maseres,  F.  Resolution  of  the  equation 
342-1-52*— 342*— 2*— 8. — Method  of  re.solving  biqiiad-  | 


ratick  [and  other]  equations  of  all  kinds  without  first  taking 
away  their  .second  terms. — Hutton,  C.  Computation  of  the 
length  of  the  sine  of  a circular  arc  of  one  minute  of  a degree.  — 
Napier,  J.  Mirifici  logarithmorum  canonis  descriptio.  — Ma- 
seres, F.  Observations  on  the  foregoing. — Ivory,  J.  Ac- 
count of  J.  Speidell’s  table  of  logarithms,  1619. — Mackay,  A. 
Computation  of  the  length  of  the  tangent  of  a circular  arch  of 
one..minute  of  a degree. 

Napier,  Neper  t^rNepair,  J.,  baron  Merchiston. 
Mirifici  logarithmorum  canonis  descriptio,  ejusque 
usus,  in  utraque  trigonometria,  ut  etiam  in  omni 
logisticu  mathematica,  amplissimi,  facillimi  & expe- 
ditissimi  explicatio.  Edinburgi,  1614.  40.  ff.  (4), 

pp  57,  fif.  (45). 

On  the  title-page  the  author’s  r'sn'  e is  given  thus:  “ Authore 
ac  inven tore  Joanne  Nepero,  barene  Merchistonii,  &c.  Scoto.” 

Young,  J.  R.  Mathematical  tables,  compre- 
hending the  logarithms  of  all  numbers  from  i to 
30,600;  also  the  natural  and  logarithmic  sines  and 
tangents,  with  several  other  tables.  Newed.  Lon- 
don, [1833].  120,  pp.  xxvi.,  190. 

Machinery. 

{See  also  Engineering  Horology.) 

Babbage,  C.  On  the  economy  of  machinery  and 
manufactures.  4th  ed.  London,  1841.  120.  f.  (i), 

pp.  xxiv.,  408. 

Baker,  T.  The  elements  of  practical  mechanism 
and  machine  tools ; with  remarks  on  tools  and  ma- 
chinery by  J.  Nasmyth.  3d  ed.  London, ' 1867. 
120.  pp.  xii.,  240.  Plates. 

Bale,  M.  P.  Woodworking  machinery : its  rise, 
progress,  and  construction  : with  hints  on  the  man- 
agement of  saw  mills  and  the  economical  conversion 
of  timber.  London,  1880.  8®.  pp.  x.,  362. 

Wdets.  and  plates. 

Bazley,  T.  S.  Notes  on  the  epicycloidal  cutting 
frame  of  Holtzapffel  & Co.,  with  special  reference  to 
its  compensation  adjustment.  London,  1872.  8®. 

pp.  (iii.)-xvi.,  192.  Plate  wdets. 

The  preface  contains  a bibliography  of  the  subject. 

Camus,  C.  E.  L.  A treatise  on  the  teeth  of 
wheels,  demonstrating  the  best  forms  which  can  be 
given  to  them  for  the  purposes  of  machinery,  such 
js  mill-work  and  clock-work ; translated  from  the 
French  by  J.  1.  Flawkins.  3d  ed.  London,  1868. 
80.  pp.  vi.,  102.  Plates. 

Colyer,  F.  Hydraulic,  steam,  and  hand  power 
lifting  and  pressing  machinery.  London,  etc.,  1881. 
8^.  pp.  viii.,  120.  Plates. 

Cooper,  J.  H.  A treatise  on  the  use  of  belting 
for  the  transmission  of  power.  Philadelphia,  etc., 
1878.  80.  pp.  310.  Plates. 

Corssen,  H.  Vorlegeblatter  fiir  Maschinen- 
Constructionen.  Berlin,  i860,  obi.  f®. 

Haton  de  la  Goupilli^re,  J.  N.  Traits  des 
m6canismes,  renferniant  la  theorie  geometrique  des 
organes  et  celle  des  resistances  passives.  Paris, 
1864.  8°.  pp.  xxxi.,  483.  Plates. 

Traite  theorique  et  pratique  des  engrenages. 

Paris,  1861.  8*’.  pp.  viii.,  88.  Wdets. 

Hayes,  J.  L.  American  textile  machinery.  Cam- 
bridge, [Mass.],  1879.  8<^.  pp.  72. 

Laboulaye,  C.  P.  L.  Traite  de  cinematique, 
ou  theorie  des  mecanismes.  Paris,  1861.  80.  pp. 

xliv.,  910. 

Ledoux,  (C. ).  Ice-making  machines;  the  the- 
ory of  the  action  of  the  various  forms  of  cold-produc- 
ing or  so-called  ice  macliines.  New  York,  1879. 
180.  pp.  150.  (Van  Nostrand’s  science  series, 

46.) 

Reprinted  from  Van  Nostraiid’s  engineering  magazine. 

I Nahuys,  G.  J.  Dc  maximo  et  minimo  in  sci- 


CORNELL  UNIVERSITY. 


6i 


entia  machinal:.  Trajecti  ad  Rhenum,  1761.  40. 

f-  (0»  PP-  39+.  f-  (0- 

Rankiiie,  W.  J.  M.  A manual  of  machinery 
and  millvvork.  1st  ed.  London,  1869.  80.  pp. 

xvi.,  588.  JVdcts. 

Redtenbacher,  J.  F.  Der  Maschinenbau. 
Mannheim,  1862-65.  3 v.  8®. 

Contents  : — i.  Elastizitat  und  Festigkeit  der  Materialien.  — 
Maschinenbestandtheile.  — Berechnung  der  Widerstande.  — 
Verzahnung.  — Bewegungsmechanismen.  — Messinstrumente. 
Maschinen  durch  Menschenkraft  bewegt. — ii.  Wasser  als 
Motor.  — Warme  und  technische  Benutzung. — iii.  Lokomo- 
tivbau.  — Bau  der  Dampfschiffe.  — Bergwerksmaschinen. 

R^sultats  scientifiques  et  pratiques  destines 

k la  construction  des  machines  ; traduction  de  la  4® 
ed.  de  I’ouvrage  allemand.  Mannheim,  1861.  8®, 

and  A tlas  of  plates. 

Bd.  together. 

Reuleaux,  F.  Constructionslehre  fur  den  Ma- 
schinenbau. Bd.  Braunschweig,  1862.  8®, 

and  Atlas  of  plates,  f®. 

Conte7its  ; — Die  Construction  der  Maschinenthelle;  begon- 
nen  von  C.  L.  Moll  und  F.  Reuleaux,  fortgesetzt  von  F. 
Reuleaux. 

Robinson,  S.  W.  A practical  treatise  on  the 
teeth  of  wheels,  with  the  theory  and  use  of  Robin- 
son’s odontograph.  New  York,  1876.  18®.  pp. 

126.  (Van  Nostrand’s  science  series,  24.) 

Roos,  J.  D.  C.  de.  Linkages ; the  different 
forms  and  uses  of  articulated  links ; translated  from 
Revue  universelle  des  mines.  New  York,  1879. 
18®.  pp.  87.  (Van  Nostrand’s  science  series, 
47-) 

Stahl,  A.  W.  Transmission  of  power  by  wire 
ropes.  New  York,  1877.  18®.  pp.  124.  (Van 

Nostrand’s  science  series,  28.) 

Uhland,  W.  H.  Skizzenbuch  fur  den  prac- 
tischen  Maschinen-Constructeur.  Leipzig,  1879-81. 
3 V,  in  I.  obi.  8®.  Plates. 

Webber,  S.  Manual  of  power  for  machines, 
shafts  and  belts  ; with  the  history  of  cotton  manu- 
facture in  the  United  States.  New  York,  1879. 
1.  8®.  pp.  XV.,  12-124,  (0>  PP-  ^05- 

Wiebe,  F.  K.  H.  Die  Lehre  von  den  einfachen 
Maschinentlieilen.  Berlin,  1854-60.  2 v.,  8®,  and 

Atlas  of  plates,  f®. 

Contents: — i.  Befestigung  der  Maschinen-theile. — ii.  Grund- 
lehren  der  Mechanik.  — Verbindung  dcr  Maschinentheilc. 

Willis,  R.  Principles  of  mechanism.  J.ondon, 
1841.  8®.  pp.  xxxi.-|-,  446. 

Saine.  2d  ed.  London,  1870.  8®.  pp. 

xxiv.,  463. 

Zahner,  R.  The  transmission  of  power  by  com- 
pressed air.  New  York,  1878.  18®.  pp,  133. 

(Van  Nostrand’s  science  series,  40.) 

Maxima  and  Minima. 

{See  also  Calculus.) 

Cresswell,  D.  An  elementary  treatise  on  the 
geometrical  and  algebraical  investigation  of  maxima 
and  minima;  [and)  a selection  of  propositions.  2d 
ed.  Cambridge,  I617.  8®,  pp.  iv.,  298,  138. 

Escliweiler, . Abhandlung  iiber  die  grosste 

in  ein  gegebenes  Dreieck  und  Viereck  eingeschrie- 
bene  und  iiber  tlie  kleinste  densclben  umschriebene 
Ellipse.  Koln,  1828.  4®.  f.  (i),  pp.  30.  Plate. 

Forster,  C.  Darstellung  der  elementaren  The- 
orie  der  Maxima  und  Minima  und  ihre  Anwendung. 
Ciistrow,  [1866].  4®.  f.  (i),  ])p.  32^^.  Plate. 

Ramchundra.  A treatise  on  problems  of  max- 
ima and  minima  solved  by  algebra;  reprinted  under 
the  superintendence  of  A.  De  Morgan.  London, 
1859.  8®.  pp.  xxiii.,  v.,  f.  (i),  pp.  185.  Plates.  . 


The  treatise  proper  has  a separate  title-page,  with  the  im- 
print “Calcutta,  1850.” 

Schondorff,  A.  Ober  die  Minimalflache  die 
von  einem  doppelt-gleichschencklingen  raumlichen 
Viereck  begrenzt  wil'd.  Gottingen,  1868.  4®.  pp.  52. 

Sperling,  J.  G.  A.  Eine  neue  Methode  das 
Maximum  und  Minimum  zu  finden.  Gumbinnen, 
1831.  40.  f.  (i),  pp.  27. 

Viviani,  V.  De  maximis  et  minimis  geometrica 
divinatio  in  qvintvm  conicorvm  Apollonii  Pergiei. 
Florentise,  1659.  2 v.  in  i.  f®.  Plates. 

Wituski,  L.  L.  De  maximis  atque  minimis  val- 
oribus  functionum  algebraicarum.  Berolini,  [1853]. 
4®.  pp.  25,  f.  (I). 

Mechanics. 

[See  also  Physics.) 

Baker,  T.  The  principles  and  practice  of  statics 
and  dynamics,  with  those  of  liquids  and  gases.  2d 
ed.,  revised  by  E.  Nugent.  London,  1869,  12®. 

pp.  viii.,  152.  Wdets.  (Weale’s  rudimentary  se- 
ries, 97.) 

Ball,  R.  S.  Experimental  mechanics.  London, 
etc.,  1871.  8®.  pp.  (iii.)-xv.,  352.  Plate  and 

wdets. 

Bartlett,  W.  H.  C.  Elements  of  analytical 
mechanics.  8th  ed.  New  York,  1868.  8®.  f.  (i), 
pp.  viii.,  (i3)-5io. 

Elements  of  natural  philosophy:  i.  Me- 
chanics. 3d  ed.  New  York,  etc.,  1855.  8®.  pp. 

632.  Wdets. 

Elements  of  synthetic  mechanics.  6th  ed. 

New  York,  i860,  8®.  pp.  632. 

Boucharlat,  J.  L.  filaments  de  m^canique. 
4®  ed.  Paris,  1861.  8®,  pp.  xvi.,  364.  Plates. 

Clebsch,  A.  Analytische  Mechanik;  nach  Vor- 
triigen  gehalten  an  der  polytechnischen  Schule. 
1858-59.  Carlsruhe,  [1859?].  2 pt.  sm.  4®.  f. 

(i),  pp.  46,  46,  II. 

Lithographed  in  German  script. 

Delaunay,  C.  (E.),  'Fraitd  dc  mdcanique  ra- 
tionnelle.  4®  ed.  Paris,  1866.  8®.  ff.  (2),  pp.  539. 

Duhamel,  (J.  M.  C.).  Cours  de  m^canique. 
3®  ^d.  Paris,  1862-63.  2 V.  8®. 

Contents:  — i.  Du  niouvement  consid^r^  ind6pendamment 
de  .ses  causes.  — Stati(|ue.  — Dynamitpie.  — ii.  Suite  de  la  dy- 
naniique.  — Hydroslatique.  — Hydrodynamique. 

Eberhard,  K.  W.  H.  Betrachtung  der  Niveau- 
fliichen  und  des  hydrostatischen  Druckes  einer  um 
zwei  Oder  mehrere  vertikale  Axen  rotirenden  Fliis- 
sigkeit.  Rostock,  1870.  4®.  pp.  22.  Plate. 

Emerson,  W.  Mechanics;  or,  d'he  doctrine  of 
motion.  1.011(1011,1769.  8®.  jip.  iv.,  14S.  Plates. 

Contents  : — Laws  of  motion.  — Descent  of  bodies.  — Motion 
of  pendulum.s.  — Centers  of  gravity.  — lupiilil)rium  of  beams  ot 
timber. — The  meclianic.al  i)Owcrs.  — Strengtli  of  timber,  and 
stress.  I'owers  of  engines,  motions  and  friction.  — Hydrostat- 
ics and  pneumatics. 

Euler,  L,  Mcchanica;  sive,  Motvs  scientia  ana- 
lytice.  Petropoli,  1736.  2 v,  4®.  Plates. 

Contents  : — i.  I )e  motu  in  genere.  — 1 )e  effectu  jtotentianim. 
— De  motu  rcctilinco.  — De  motu  puncti  liberi  in  medio  resist- 
ente. — ii.  Dc  inotu  non  libero  in  genere.  — De  motu  imncti 
suijer  data  linea  in  vacuo.  — De  motu  puncti  super  data  linea 
in  medio  resistente.  — 1 )c  motu  ]>uncti  siq)er  data  superficie. 

Grassmann,  H.  G.  Gruudriss  dcr  Mechanik. 
Stettin,  [1867].  4®.  f.  (i),  pp.  34. 

Gravesaiide,  W.  J.  Pliysices  elenienta  malh- 
ematica,  experiiiientis  confirmata;  sive,  Introductio 
ad  iihilosophiain  Newlonianam.  Ed.  3“'.  Leidoe, 
1742.  2 V.  4®.  Plates. 

Contents  : — i.  De  corpore  in  genere.  — De  a<Jtionibns  [toten- 
tiarum.  — De  motibus,  potentianim  actionibus,  mutatis, — De 
viribus  insitis.  — De  corporum  collLsione. — De  collisione  com- 


62 


WOJ^J^S  RE  LA  TING  TO  MA  THEM  A TICS. 


posita. — De  legibus  elasticitatis. — De  gravitate  et  pressione 
fluidorum.  — De  motu  fluidorum.  — De  fluidorum  motoruni  ac- 
tionibus  & resistentiis. — De  corporibus  metis  in  fluidis. — ii. 
De  acre  & aliis  fluidis  elasticis.  — De  igne.  — De  motu  luminis. 
— De  luminis  refractione.  — De  luminis  reflexione.  — De  opaco 
& colonbus.  — De  mundi  systemate.  — Motuum  coelestium 
causae  physicae. 

Gregory,  O.  (G.)*  A treatise  of  mechanics, 
theoretical,  practical  and  descriptive.  4th  ed.  Lon- 
don, 1826.  2 V.,  80,  and  Atlas  of  plates. 

Contents  : — i.  Statics.  — Dynamics.  — Hydrostatics.  — Hy- 
drodynamics. — Pneumatics.  — ii.  The  nature,  construction 
and  simplification  of  machinery.  — Friction,  rigidity  of  cords, 
first  movers,  &c.  — Descriptions  of  machines. 

Jackson,  I.  W.  An  elementary  treatise  on  me- 
chanics. Schenectady,  N.  Y.,  1854.  8®.  pp.  244. 

Plates. 

Lagrange,  J.  L.,  comte  de.  Mecanique  ana- 
lytique.  3^  ed.  Paris,  1853-55.  2 v.  40. 

Contents  : — i.  Statique.  — Dynamique.  — Notes.  — ii.  Dy- 
namique  [suite].  — Notes.  — Fragments. 

Lamy,  (B.).  Traitez  de  mecanique,  de  I’equi- 
libre,  des  solides,  et  des  liqueurs.  Nouv.  ed.,  ou 
Ton  ajoute  Une  nouvelle  maniere  de  demontrer  les 
principaux  theoremes  de  cette  science.  Paris,  1687. 
240.  f.  (i),  pp.  263-f-,  23,  ff.  (2).  Plate. 

The  “Nouvelle  maniere  de  demontrer  les  theoremes”  has  a 
separate  title-page,  with  same  imprint. 

Laplace,  P.  S.,  tnaj'qtiis  de.  A treatise  upon 
analytical  mechanics ; being  the  first  book  of  the 
Mecanique  celeste ; translated,  and  elucidated  with 
notes,  by  J.  Toplis.  Nottingham,  1814.  8®.  pp. 

vii.,  286,  f.  (i).  Plate. 

Maclaurin,  C.  An  account  of  Sir  Isaac  New- 
ton’s philosophical  discoveries  ; published  from  the 
author’s  manuscript  by  P.  Murdoch.  2d  ed.  Lon- 
don, 1750.  8®.  ff.  (5),  pp.  xxvi.,  412.  Plates. 

Same.  3d  ed.  London,  1775.  8^.  ff. 

(5),  pp.  XXV.,  412.  Plates. 

Martin,  B.  A plain  and  familiar  introduction  to 
the  Newtonian  philosophy.  London,  1751.  80. 

ff.  (4),  pp.  164,  ff.  (2).  Plates. 

Newton,  Sir  Isaac.  Philosophioe  naturalis 
principia  mathematica;  imprimatur  S.  Pepys,  Julii 
5,  1686.  Londini,  1687.  40.  ff.  (4),  pp.  510,  f. 

( I ).  Plate. 

The  first  edition  of  the  “Principia.” 

Same.  Ed.  2^.  Cantabrigiae,  1 713.  4®. 

ff.  (14),  pp.  484,  ff.  (4).  Plate. 

Sai7ie.  Ed.  ultima.  Amstaelodami,  1714. 

40.  ff.  (14),  pp.  484,  ff.  (4).  I^late. 

A reprint  of  the  2d  ed. 

Same ; perpetuis  commentariis  illustrata, 

communi  studio  T.  Le  Seur  & E.  Jacquier.  Gen- 
evae,  1739-42.  4 pt.  in  3 v.  40. 

Sa77ie.  Ed.  nova.  Glasguae,  1822.  4 v. 

bd.  in  2.  80. 

The  mathematical  principles  of  natural  phil- 
osophy; translated  by  A.  Motte;  [and  his]  System 
of  the  world ; Comment  on,  and  defence  of,  the 
I’rincipia,  by  W.  Emerson  ; The  laws  of  the  moon’s 
motion  according  to  gravity,  by  J.  Machin.  New 
ed.,  with  Life  of  the  author,  revised  by  W.  Davis. 
London,  1819.  3 V.  8‘*.  Port,  and  plates. 

Excerpta  quaedam  e Newtoni  principiis  phil- 

osophiae  naturalis,  cum  notis  variorum  [edidit 1- 

Jebb].  Cantabrigae,  1765.  40.  pp.  ix.-f,  180. 

Plates. 

The  first  three  sections  of  Newton’s  Prin- 
cipia; with  an  appendix,  and  the  9th  and  nth  sec- 
tions; edited  by  J.  II.  Evans.  2d  ed.  Cambridge, 
1837.  80.  ff.  (2),  pp.  95. 

Same.  4th  ed.  Cambridge,  etc.,  1855. 

80.  pp.  96. 


The  first  three  sections  of  Newton’s  Prin- 
cipia; with  notes  and  illustrations,  deductions  and 
problems,  by  J.  Carr.  London,  1821.  8®.  ppiv., 

1 6 7-}-.  Plates. 

Principia:  sections  i.,  ii.,  iii.  ; with  notes 

and  illustrations,  also  a collection  of  problems,  by 
P.  Frost.  Cambridge,  etc.,  1863.  80.  pp.  xiii., 

288. 

Newton’s  philosophiska  systeme,  lampadt  efter 
unga  HeiTars  och  Fruntimmers  begrep.  Stock- 
holm, 1 782.  240.  pp.  156.  Plate  and  wdcts. 

Probably  a translarion  of  Eliz.  Carter’s  translation  of  F.  Al- 
garotti’s  “ Newtonianismo.” 

Parkinson,  S.  An  elementary  treatise  on  me- 
chanics. Cambridge,  etc.,  1863.  8®.  pp.  viii.,  374. 

Parkinson,  T.  A system  of  mechanics  and  hy- 
drostatics. Cambridge,  1789.  40.  ff.  (2),  pp.  192. 

Plates. 

Bd.  with  Woodhouse’s  “ Principles  of  analytical  calculation.” 

Peck,  W.  C.  Elements  of  mechanics.  New 
York,  1859.  120.  pp.  X.,  (i3)-338. 

Peirce,  B.  A system  of  analytic  mechanics. 
Boston,  1855.  40.  pp,  xxxix.,  496.  Plate.  (/« 

his  Physical  and  celestial  mechanics. ) 

Pemberton,  H.  A view  of  Sir  Isaac  Newton’s 
philosophy.  London,  1728.  40.  ff.  (25),  pp.  407. 

Plates. 

Poisson,  S.  D.  Traits  de  mecanique.  2®  ^d. 
Paris,  1833.  2 V.  8®.  Plates. 

A treatise  of  mechanics  ; translated  by  H. 

H.  Harte.  London,  etc.,  1842.  2 v.  8®.  Plates. 

Renwick,  J.  The  elements  of  mechanics.  Phil- 
adelphia, 1832.  8®.  pp.  xxxi.-f-,  508. 

Resal,  H.  Traits  de  mecanique  g^nerale. 
Paris,  1873-76.  4 V.  8®.  Wdcts. 

Conte7iis  : — i.  Cinematique.  — Theoremes  generaux.  — De 
I’equilibre  et  du  mouvement  des  corps  solides.  — ii.  Du  mouve- 
ment  des  systemes  materiels  et  de  ses  causes.  — Thermodyna- 
mique. — iii.  Des  machines  considerees  au  point  de  vue  des 
transformations  de  mouvement  et  du  travail  des  forces. — Ap- 
plication de  la  mecanique  a I’horlogerie. — iv.  Des  moteurs 
animes.  — De  I’eau  et  du  vent  comme  moteurs.  — Des  machines 
hydrauliques  et  elevatoires.  — Des  machines  a vapeur,  a air 
chaud  et  a gaz. 

Smith,  A.  W.  An  elementary  treatise  on  me- 
chanics, embracing  the  theory  of  statics  and  dynam- 
ics, and  its  application  to  solids  and  fluids.  New 
York,  1849.  8®.  f.  (i),  pp.  XV.,  307. 

Snowball,  J.  C.  The  Cambridge  course  of  ele- 
mentary natural  philosophy : being  propositions  in 
mechanics  and  hydrostatics.  5th  ed.,  revised  by  T. 
Lund.  Cambridge,  etc.,  1864.  sm.  8®.  pp.  xii., 

155- 

Sturm,  (J.)  C.  (F.).  Cours  de  mecanique. 
2®  6d.,  revue  par  E.  Prouhet.  Paris,  1868-69. 
2 V.  8®. 

Timmermans,  J.  A.  Responsio  ad  qusestion- 
em : “ Generalis  theoria  compositionis  ac  resolu- 
tionis  virium  motuumque,  e legitimis  principiis  de- 
ducla,  succincte  exponalur,  et  idoneis  exemplis  illus- 
tretur.”  Gandavi,  1818.  4®.  f.  (i),  pp.  60. 
Plates. 

Venturoli,  G.  Elements  of  the  theory  of  me- 
chanics ; translated  by  D.  Cresswell ; [and]  A selec- 
tion of  problems.  Cambridge,  etc.,  1822.  8®.  pp. 

xi.-{-,  192.  Plates. 

Whewell,  W.  An  elementary  treatise  on  me- 
chanics. 4th  ed.  Cambridge,  etc.,  1833.  8®.  pp. 

xviii.,  280.  Plates. 

Interleaved. 

The  first  principles  of  mechanics,  with  his- 
torical and  practical  illustrations.  Cambridge,  etc., 
1832.  8®.  pp.  xii.,  1 1 8.  Plates. 

The  mechanical  Euclid,  containing  the  ele- 


CORXELL  UNIVERSITY. 


63 


ments  of  mechanics  and  hydrostatics  demonstrated 
after  the  manner  of  the  elements  of  geometry ; [with 
a supplement  on  Remarks  on  mathematical  reason- 
ing, etc.]  4th  ed.  London,  etc.,  1843.  120.  f. 

(I),  pp.  X.,  136,  64. 

Wood,  J.  The  principles  of  mechanics.  7th  ed. 
Cambridge,  1824.  80.  ff.  (2),  pp.  21 1. 

Wright,  J.  M.  F.  A commentary  on  Newton’s 
Principia ; with  a supplementary  volume.  London, 
etc.,  1828.  2 V.  8®. 

The  “ supplementary  volume  ” (ii.)  consists  of  an  introduc- 
tion to  Laplace’s  “ Mecanique  celeste,”  a supplement  to  the 
Commentary,  and  “Problems.” 

Same.  London,  etc.,  1833.  2 v.  80. 

a.  Animal  Mechanics. 

Haughton,  S.  Principles  of  animal  mechanics. 
London,  1873.  PP*  495*  IVdcts. 

Marey,  E.  J.  Animal  mechanism;  a treatise 
on  terrestrial  and  aerial  locomotion.  New  York, 
1874.  120.  pp.  xvi.,  283.  Wdcts.  (Interna- 

tional scientific  series,  xi.) 

Pettigrew,  J.  B.  Animal  locomotion  ; or. 
Walking,  swimming,  and  flying;  with  a disserta- 
tion on  aeronautics.  New  York,  1874.  120.  pp. 

xiii.,  f.  (i),  pp.  264.  Plates  and  wdcts.  (Interna- 
tional scientific  series,  [viii.].) 

Wainwright,  W.  P.  Radical  mechanics  of 
animal  locomotion : with  remarks  on  the  setting-up 
of  soldiers,  horse  and  foot,  and  on  the  supplying  of 
cavalry  horses.  New  York,  1880.  120.  pp.  xviii., 

(i.S)-294>  f*  (i)»  PP*  viii. 

b.  Applied  Mechanics. 

Bninton,  R.  A compendium  of  mechanics  ; con- 
taining rules  and  tables.  Glasgow,  1824.  8'\  f. 

(i),  pp.  132,  ff.  (2).  Plates. 

Byrne,  O.  The  essential  elements  of  p^ractical 
mechanics.  London,  1867.  8®.  pp.  xi.,  360. 

Leibbrand,  M.,  editor.  Technische  Mechanik, 
bearbeitet  und  herausgegeben  vom  Ingenieur-Vcrein 
an  Polytechnikum  zu  Stuttgart.  Stuttgart,  1878. 
8®.  pp.  viii.,  308. 

Rankine,  W.  J.  M.  A manual  of  applied  me- 
chanics. 5th  ed.  London,  1870.  8®.  pp.  xvi., 

648. 

and  E.  F.  Bamber.  A mechanical  text- 
book ; or.  Introduction  to  the  study  of  mechanics. 
2d  ed.  London,  1875.  8°.  pp.  xii.,  312. 

Venturoli,  G.  Elements  of  practical  mechan- 
ics; [and]  'I'he  principle  of  virtual  velocities,  and 
its  uses  in  mechanics;  translated  by  I).  Cresswell. 
Cambridge,  1823.  8®.  f.  (1),  pp.  iii.,  iv.,  238. 

Plates. 

c.  Dynamics. 

Atwood,  G.  A treatise  on  the  rectilinear  mo- 
tion and  rotation  of  bodies  ; with  a description  of 
original  exjieriments  relative  to  the  subject.  Cam- 
bridge, 1784.  8°.  ff.  (2),  pp.  xv.-|-,  436,  f.  (i). 

Plates. 

Deahna,  (H.  W. ) F.  Momenta  inertiae  singu- 
lorum  quinque  corporum  regularium.  Gottingae, 
1835*  40.  pp.  II.  Plate. 

Dornheim,  (F.  ?).  Die  Rewegungsgesetze  fiir 
Krafte,  welche  der  Entfernung  proportional  sind. 
Minden,  1867.  80.  pp.  31.  Plate. 

Earnshaw,  S.  Dynamics ; or,  A treatise  on 
motion ; [and]  A short  treatise  on  attractions.  3d 
ed.  Cambridge,  etc.,  1844.  pp.  vii.-|-,  372. 


Euler,  L.  Dissertatio  de  principio  minimjE  ac- 
tionis.  Berolini,  1753.  sm.  80.  ff.  (8),  pp.  223. 

Latin  and  French  on  jdternate  pages. 

Theoria  motvs  corporvm  solidorvm  sev 

rigidorvm.  Ed.  nova.  Gryphiswaldise,  1790.  40. 

ff.  (17),  pp.  624.  Plates. 

Gruhl,  E.  Beitrag  zu  einer  elementaren  Behand- 
lung  schwingender  Bewegungen.  Hagen,  1867.  40. 
f.  (i),  pp.  16. 

Hahnemann,  . Bewegung  zweier  durch 

einer  starve  Linie  verbundenen  materiellen  Punkte 
auf  einen  verticalen  Kreise.  Halle,  1861.  40.  f. 

(I),  pp.  24. 

Hamilton,  W.  R.  On  a general  method  in  dy- 
namics. [London,  1834.]  40.  pp.  247-308. 

From  the  “Philosophical  transactions  of  the  Royal  society,” 
cxxiv. 

Peters,  C.  H.  F.  De  principio  minimae  actionis. 
Berolini,  [1836].  4®.  pp.  20,  f.  (i). 

Routh,  E.  J.  An  elementary  treatise  on  the  dy- 
namics of  a system  of  rigid  bodies,  with  examples. 
2d  ed.  London,  etc.,  1868.  8®.  pp.  xi.,  f.  (i), 

pp.  492. 

Voigt, . Einige  Satze  aus  der  Lehre  vom 

Stosse.  Zwickau,' 1 849.  80.  pp.  17.  Plate. 

Whewell,  W.  On  the  free  motion  of  points, 
and  on  universal  gravitation,  including  the  principal 
propositions  of  books  i.  and  iii.  of  the  Principia; 
the  first  part  of  a new  ed.  of  a treatise  on  dynamics. 
Cambridge,  1832.  80.  pp.  xxviii.,  237,  f.  (i). 

Plates. 

I.  Pendulum. 

Dumas,  W.  A.  De  motu  penduli  sphaerici  ro- 
tatione  terrae  perturbato.  — Diss.  inaug.  • Regio- 
monti,  [1857].  f.  (i),  pp.  88,  ff.  (2). 

Gilbert,  D.  On  the  vibrations  of  heavy  bodies. 
London,  1825.  8®.  pp.  7. 

“ Mathematical  pamphlets.” 

Roudolf,  W.  Bewegung  eines  von  einer  vollen 
Kugel  angezogenen  Punktes  auf  einer  Kugelflache, 
zugleich  als  allgemeinste  Theorie  des  mathemat- 
ischen  Pendels.  i^^^  q'heil.  Neuss,  1858.  4®.  f. 

(I),  pp.  19. 

■».  Undulation. 

Craig,  T.  Elements  of  the  mathematical  theory 
of  fluid  motion.  New  York,  1879.  180.  (Van 

Nostrand’s  science  series,  43.^ 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Hehl,  J.  Ueber  Wellenbewegung.  Marburg, 
1837.  4«.  f.  (i),  i)p.  42.  Plates. 

Lampe,  E.  Sur  (juekiues  probRmes  relatifs  d 
la  surface  des  ondes.  Berlin,  1870.  4”.  f.  (i), 

pp.  28. 

Melde,  F.  Ueber  die  Erregung  stehender  Wel- 
len  eines  fadenformigen  Kdrpers.  Marburg,  i860. 
8®.  pp.  27,  f.  (i).  Plate. 

3.  Dynamics  0/  a Particle 
(including  Orbits  and  Central  Forces). 

Belanger,  J.  B.  'I'rait^  de  la  dynamique  d’un 
point  materiel.  Paris,  18O4.  8®.  pp.  xiv.,  f.  (i), 

pp.  148.  JHate. 

Emerson,  W.  The  laws  of  centripetal  and  cen- 
trifugal force,  shewing  the  motion  of  bodies  in  cir- 
cular orbits  and  in  the  conic  sections  and  other 
curves;  beitig  a work  preparatory  to  astronomy. 
[London,  1769?]  8‘»,  f.  (i),  pp.  8i-f-.  IHates. 

Bd.  with  his  “ Mechanics.” 

Hoche,  R.  Welche  Curve  muss  die  Bahn  eines 


64 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


materiellen  schweren  Punktes  bilden,  wenn  dieser 
mit  constanter  Geschwindigkeit  fortriickt,  wahrend 
jene  sich  um  eine  verticale  Achse  mit  constanter 
Winkelgeschwindigkeit  dreht?  Halle,  1867.  4®. 

f.  (i),  pp.  21. 

Leitzmann, . Ueber  die  Anziehung  einer 

unendlichen  Geraden.  Magdeburg,  [1860I.  4®. 

f.  (i),  pp.  37.  Fiates. 

Praetorius,  I.  De  motu  corporis,  quod  duo- 
bus  fixis  centris  secundum  legem  Newtonianam 
attrahitur. — Diss.  inaug.  Vratislaviae,  [1863].  4®. 

ff.  (2),  pp.  26. 

Schellbach,  K.  H.  Ueber  Bewegung  materi- 
eller  Punkte.  Berlin,  1849.  40.  pp.  20. 

Tait,  P.  G.,  a}id  W.  J.  Steele.  A treatise  on 
the  dynamics  of  a particle,  with  examples.  2d  ed. 
Cambridge,  etc.,  1865.  8®.  pp.  xv.,  363. 

Vollhering, . Mathematische  Abhandlung. 

Cdslin,  1868.  40.  pp.  II. 

Wilkinson,  W.  On  the  orbits  described  by 
bodies  revolving  in  given  planes  round  immoveable 
centres  of  forces.  Cambridge,  1816.  f.  (i),  pp.  34. 

Lettered  “ Mathematical  tracts.” 

d.  Hydrostatics  and  Hydrodynamics. 

Atwood,  G.  The  construction  and  analysis  of 
geometrical  propositions,  determining  the  positions 
assumed  by  homogeneal  bodies  which  float  freely, 
and  at  rest,  on  a fluid’s  surface.  [London,  1796.] 
40.  pp.  4^130.  Plates. 

From  the  “ Philosophical  transactions  of  the  Royal  society,” 
Ixxxviii. 

Lettered  " Shipbuilding.” 

Bernoulli,  D.  Hydrodynamica;  sive,  De  viri- 
bus  et  motibus  fluidorum  commentarii.  Argento- 
rati,  1738.  40.  ff.  (4),  pp.  304.  Plates. 

[Brougham,  H.,  Baron  Brougham  and  Vaiix.^ 
Hydrostatics.  5th  ed.  London,  etc.,  1827.  80. 

pp.  32.  Wdcts.  {In  Soc.  for  the  diffusion  of 
useful  knowledge.  Library  of  useful  knowledge. ) 

Craig,  T.  Elements  of  the  mathematical  theory 
of  fluid  motion  : On  the  motion  of  a solid  in  a fluid, 
and  the  vibrations  of  liquid  spheroids.  New  York, 
1879.  180.  pp.  208.  (Van  Nostrand’s  science 

series,  49.) 

Reprinted  from  Van  Nostrand’s  engineering  magazine. 

Darcy,  H.,  et  H.  Bazin.  Recherches  hydrau- 
liques.  Paris,  1865.  2 pt.  in  i v.,  40,  and  Atlas,  fo. 

Contents  : — 1.  Sur  I’^coulement  de  I’eau  dans  les  canaux  d6- 
couverts.  — 2.  Remous  et  la  propagation  des  ondes. 

” Extrait  du  tome  xix.  des  Memoires  pr<5sentes  par  divers 
savants  a I’lnstitut  imperial  de  France.” 

Du  Bois-Reymond,  P.  (D.  G. ).  De  equilibrio 
fluidorum. — Diss.  inaug.  Berolini,  [1859].  40. 

f.  (i),  pp.  21. 

Eberhard,  K.  W.  H.  Betrachtung  der  Niveau- 
fliiclien  und  des  hydrostatischen  Druckes  einer  um 
zwei  Oder  mehrere  vertikale  Axen  rotirenden  Fliis- 
sigkeit.  Rostock,  1870.  40.  pp.  22.  Plate. 

Genet,  E.  C.  Memorial  on  the  upward  forces 
of  fluids,  and  their  applicability  to  several  arts,  sci- 
ences, and  public  improvements.  Albany,  1825. 
8".  pp.  1 12.  Plates. 

ConUuns  papers  on  aeronautics. 

Hoche,  M.  Bewegung  der  Kugel  in  einer  un- 
endlichen Fliissigkeit.  Soest,  [ 1863].  4«.  pp.  21. 

Matthiessen,  (H.  F.)  L.  Neue  Untersuchung- 
en  iilxjr  frei  rotirende  Fliissigkeiten  im  zustande  des 
(ileichgewichts.  Kiel,  1859.  4”.  pp.  (5)-74. 

Plate. 

Merian,  J.  R.  Ueber  die  Bewegung  tropfbarer 
b'lussigkeiten  in  Gefassen.  Basel,  1828.  40.  f. 

fO.  PP-  53- 


Miller,  W.  H.  The  elements  of  hydrostatics 
and  hydrodynamics.  Cambridge,  1831.  80.  pp. 

viii.,  95-f.  Plates. 

Sujue.  2d  ed.  Cambridge,  1835.  80. 

pp.  viii.,  120.  Plates. 

Phear,  J.  B.  Elementary  hydrostatics;  with 
examples.  4th  ed.  London,  etc.,  1866.  80.  pp. 

viii.,  155. 

Vince,  S.  The  theory  of  the  motion  and  resist- 
ance of  fluids.  [London,  1794.]  40.  pp.  24-45. 

Plates. 

From  the  “Philosophical  transactions  of  the  Royal  society,” 
Ixxxiv. 

Lettered  " Shipbuilding.” 

Webster,  T.  The  principles  of  hydros'^atics  ; an 
elementary  treatise  on  the  laws  of  fluids.  4th  ed. 
London,  etc.,  1856.  12®.  pp.  xii.,  312. 

The  theory  of  the  equilibrium  and  motion 

of  fluids.  Cambridge,  etc.,  1836.  80.  pp.  viii., 

212.  Plate. 

e.  Kinematics. 

Belanger,  J.  B.  Traite  de  cinematique.  Paris, 
1864.  8®.  pp.  xxiv.,  288.  Plates. 

Freydanck, . Geometrische  Gesetze  iiber 

endliche  Ortsveranderungen  congruenter  Systeme  in 
der  Ebene.  Magdeburg,  1863.  40.  f.  (i),  pp.  13. 

Plate. 

Resal,  (A.)  H.  Traite  de  cinematique  pure. 
Paris,  1862.  8®.  pp.  xv.-{-,  412. 

Schonemann,  T.  Ueber  die  Bewegung  veriin- 
derlicher  ebener  Figuren,  welche  wahrend  der  Be- 
wegung sich  ahnlich  bleiben  in  ihrer  Ebene.  Bran- 
denburg, 1862.  40.  pp.  19.  Plates. 

f.  Pneumatics. 

{See  also  Acoustics,  and  Warming  and  Ventila- 
tion.^ 

Blake,  E.  W.  Original  solutions  of  several 
problems  in  aerodynamics.  New  Haven,  1882.  8®. 

pp.  61. 

Four  of  the  papers  were  originally  published  in  the  Ameri- 
can journal  of  science. 

Contents:  — A theoretical  determination  of  the  law  which 
governs  the  flow  of  elastic  fluids  through  orifices.  — A deter- 
mination of  the  general  law  of  the  propagation  of  pulses  in  elas- 
tic media.  • — On  the  mode  of  expansion  of  elastic  fluids  as  con- 
trolled by  dynamic  laws.  — Experimental  demonstration  of  the 
law  of  the  flow  of  elastic  fluids. — The  form,  formation  and 
movement  of  sonorous  waves. — Answers  to  the  principal  ob- 
jections which  have  been  made  to  the  last  of  the  foregoing 
articles. 

Hoogeven,  T.  De  aeris  resistentia  in  globes 
projectos.  Lugduni  Batavorum,  1773.  40.  ff.  (4), 

pp.  80,  ff.  (3).  Plate. 

Tomlinson,  C.  Pneumatics.  3d  ed.  London, 
1863.  12®.  pp.  iv.,  162. 

g.  Rotation. 

Maerker,  F.  J.  De  motu  corporum  solidorum 
adiuncto  exemplo. — Diss.  inaug.  Halis,  [1851]. 
40.  ff.  (2),  pp.  19+.  Plate. 

Poinsot,  L.  Theorie  jiouvelle  de  la  rotation  des 
corps.  {Appended  to  his  Elements  de  statique,  etc., 
1861,  8‘>,  pp.  303-328.) 

Outlines  of  a new  theory  of  rotatory  mo- 
tion; translated  by  C.  Whitley.  Cambridge,  1834. 
8®.  pp.  iv.,  96.  Plates. 

Schultze,  C.  Ueber  einen  besonderen  Fall  des 
Rotations-Problems.  Elbing,  1863.  40.  pp.  17. 

h.  Statics. 

Earnshaw,  S.  A treatise  on  statics ; contain- 


CORNELL  UNIVERSITY. 


65 


ing  the  theory  of  the  equilibrium  of  forces  and  ex- 
amples. 4th  ed.  Cambridge,  1858.  80.  pp.  vii., 

228.  Plates. 

Monge,  G.  Traits  ^lementaire  de  statique.  5® 
6d.  Paris,  1810.  8®.  pp.  vi.,  204-}-.  Plates. 

Poiiisot,  L.  E16nents  de  statique,  suivis  de 
quatre  memoires  sur  la  composition  des  moments  et 
des  aires ; sur  la  plan  invariable  du  systeme  du 
monde ; sur  la  th^orie  generale  de  I’equilibre  et  du 
mouvement  des  systemes ; et  sur  une  theorie  nou- 
velle  de  la  rotation  des  corps.  10®  ed.  Paris,  1861. 
8®.  pp.  xi.,  328.  Plates. 

Tietz,  J.  Eine  mathematische  Arbeit.  Brauns- 
berg,  1866.  4®.  f.  (i),  pp.  23. 

Todhunter,  I.  A treatise  on  analytical  statics, 
with  examples.  2d  ed.  Cambridge,  1858.  8®. 

PP-  330- 

I.  Attraction. 

t^See  also  Astronomy,  d.) 

Konen,  H.  Ueber  die  Anziehung,  welche  ein 
materieller  Punkt  von  Seiten  einer  begrenzten  ger- 
aden  Linie  erleidet,  deren  Dichtigkeit  von  dem 
einen  zum  anderen  Ende  gleichformig  zunimmt. 
Koln,  1865.  4®.  pp.  15. 

Kdnig,  J.  F.  Gesucht  wird  die  Kraft,  mit  der 
ein  gerades  Parallelepipedum  ein  anderes  ebenfalls 
gerades  Parallelepipedum  anzieht.  Konigsberg, 
1832.  4®.  f.  (i),  pp.  16. 

Pihl,  O.  Om  Attractionen  mellem  to  Cirkel- 
flader.  [Christiania,  1875].  8®.  pp.  ii. 

“ Saerskilt  aftrykt  af  Christiania  Videnskabs-Selskabs  For- 
handlinger  for  1875.” 

Rothig,  (J.  W.)  O.  Ueber  das  Potenzial  und 
die  Anziehung  eines  homogenen  Cylinders.  Berlin, 
1861.  4®.  pp.  21. 

Meteorology 

(including  A uroras). 

(See  also  Instruments,  Tables,  ami  Physics.) 

Blodget,  L.  Climatology  of  the  United  States, 
and  of  the  temperate  latitudes  of  the  North  Ameri- 
can continent;  end)racing  a comparison  of  these 
with  the  climatology  of  the  temperate  latitudes  of 
I'iurope  and  Asia,  and  in  regard  to  agriculture,  sani- 
tary investigations,  and  engineering.  Philadelphia, 
etc.,  1857.  1.  8®.  pp.  53b.  Charts. 

Capron,  J.  R.  Aurorae : their  characters  and 
spectra.  London,  1879.  4®.  pp.  xiv.-{-,  207. 

Plates. 

Claridge,  J.  The  shepherd  of  Banbury’s  rules 
to  judge  of  the  changes  of  the  weather;  to  which  is 
added  a rational  account  of  the  causes  of  such  alter- 
ations, the  nature  of  wind,  rain,  snow,  &c.  2d  ed. 
London,  1748.  8®.  pp.  x.,  54. 

Originally  published  in  1670.  Contains  an  anonymous  pref- 
ace, by  Dr.  John  Campbell.  See  “Notes  and  (Queries,”  vol. 
vii.  (1853),  no.  181,  pp.  (373)-375. 

Dove,  H.  W.  I )as  Gesetz  der  Stiirme  in  seiner 
Beziehung  zu  den  allgemeinen  Bewegungen  der  .Xt- 
mosphare.  3®  Aull.  Berlin,  1866.  8®.  ff.  (5), 

pp.  346.  Plates. 

Espy,  J.  P.  The  philosophy  of  storms.  Bos- 
ton, 1841.  8®.  pp.  xii.,  (v.)-xl.,  552.  Maps  and 

wclcts. 

Ferrel,  W.  The  motions  of  fluids  and  solids 
relative  to  the  earth’s  surface,  comprising  applica- 
tions to  the  winds  and  the  currents  of  the  ocean. 
New  York,  i860.  4®.  pp.  72. 

From  the  “ Mathematical  monthly.’’ 

Harrison.  B.  F.,  aud  F.  E.  Loomis.  On  the 


direction  and  force  of  the  wind,  with  the  fall  of  rain 
and  snow,  at  Wallingford,  Conn.  New  Haven, 
1871.  8®.  pp.  62. 

From  the  “Transactions”  of  the  Conn.  acad.  of  arts  and  sci- 
ences, ii , 1871. 

Heis, . Die  Finsternisse  wiihrend  des  pelo- 

ponnesischen  Krieges.  Koln,  1834.  4®.  pp.  14. 

Ideler,  J.  L.  Meteorologia  veterum  Graecorum 
et  Romanorum;  prolegomena  ad  novam  meteorol- 
ogicorum  Aristotelis  editionem  adornandam.  Bero- 
lini,  1832.  8®.  ff.  (4),  pp.  254,  f.  (i). 

Loomis,  E.  A treatise  on  meteorology ; with  a 
collection  of  meteorological  tables.  New  York, 
1870.  8®.  pp.  305.  Plates. 

New  York  (City). — Department  of  public  parks 
— Meteorological  observatory.  [Abstract  of  registers 
from  self-recording  instruments ; and.  Quarterly 
comparisons  and  annual  tables.  1879-81.  New 
York,  1879-81].  3 V.  4®. 

Lacks  July  and  Dec.  1881. 

New  York  (State) — University.  Results  of  a 
series  of  meteorological  observations  at  sundry  acad- 
emies in  the  state  of  New  York,  1846-63;  compiled 
by  F.  B.  Hough.  Albany,  1855-72.  2 v.  4®. 

Charts. 

Contains  records  of  rain-fall  and  other  phenomena  to  1871, 
inclusive. 

Smith,  R.  A.  Air  and  rain  ; the  beginnings  of 
a chemical  climatology.  London,  1872.  8®.  pp. 

xiii.,  f.  (i),  pp.  600. 

Strehlke,  F.  Zwei  Abhandlungen  physikal- 
ischen  und  mathematischen  Inhalts.  Berlin,  [1832]. 
4®.  f.  (I),  pp.  15.  _ • 

Contents:  — Ueber  den  mittlern  Barometerstand  im  Niveau 
der  Ostsee.  — Ueber  den  durch  3 Punkte  eines  Kegelschnitts 
gehenden  Kreis. 

Taber,  C.  A M.  The  causes  which  produce 
the  great  prevailing  winds  and  ocean  current's,  and 
their  effects  on  climate.  Boston,  1881.  12®.  pp.  54. 

United  States — Army.  Army  meteorological 
register,  1843-54;  compiled  from  observations  made 
by  the  officers  of  the  medical  department  at  the  mil- 
itary posts  of  the  Unitetl  States,  under  the  direction 
of  General  T'.  Lawson,  [by  R.  H.  Coolidge].  Wash- 
ington, 1855.  4®.  i)p.  xi.,  763-J-,  f.  (1).  Charts. 

Contains  a “ Report  on  the  prominent  features  of  general  cli- 
mate in  the  United  States,  as  exhibited  in  the  distribution  of 
temperature  and  of  rain,  and  in  explanation  of  the  illustrative 
charts.” 

— Coast  survey.  Methods,  discussions, 

and  results  : Meteorological  researches  for  the  use 
of  the  coast  pilot  [by  \V’.  Ferrel].  I’t.  i.,  ii. 
Washington,  1877-80.  2 pt.  4®.  Plates. 

Contents  : — i.  Mechanics  and  general  motions  of  the  atmos- 
phere.— 2.  Cyclones,  waterspouts,  and  tornadoes. 

Patent  office.  Results  of  meteorological 

oltservations  made  under  the  direction  of  the  United 
States  patent  office  and  the  .Smithsonian  institution, 
1854-59.  Vol.  i.,  ii.,  I.  Washington,  1861.  2 v. 

4*"-  . . 

Contents:  — i.  Reductions  of  meteorological  observations, 
1854-59. — ii.,  1.  Hough,  T,^.,  editor.  Observations  upon 
periodical  phenomena  in  plants  and  animals,  1851-59;  with 
Tables  of  the  dates  of  opening  and  closing  of  lakes,  rivers,  har- 
bors, etc. — Coffin,  J.  H.,  editor.  Storms  of  1859. 

Signal  service.  Annual  report.  1873-74, 

’76-81.  Washington,  1874-81.  8 v.  8®.  Maps 

and  charts. 

Daily  bulletin  of  weather-reports, 

taken  at  7.35  A.  M.,  4.35  1*.  M.,  and  ll  v.  M.,  Wash- 
ington mean  time,  witli  the  synopses,  jirobabilities, 
ami  facts.  Sept.  1872-March,  1874.  Washington, 
1873-76.  18  v.  4®. 

Lacks  Sept.  1873. 

The  practical  use  of  meteorological 


66 


WOJ^KS  RELA  TING  TO  MA  THEM  A TICS. 


reports  and  weather  maps.  Washington,  1871.  8®. 

pp.  76,  f.  (i).  Chai't  wdcts. 

Military  Art  and  Science 

(not  including  government  reports,  etc.). 

Duane,  W.  A military  dictionary;  or.  Expla- 
nation of  the  several  systems  of  discipline  of  differ- 
ent kinds  of  troops,  infantry,  artillery,  and  cavalry, 
the  principles  of  fortification,  and  all  the  modern 
improvements  in  the  science  of  tactics.  Philadel- 
phia, 1810.  8®.  pp.  xi.,  748. 

Kelton,  J.  C.  A new  manual  of  the  bayonet, 
for  the  army  and  militia  of  the  United  States.  5th 
ed.  New  York,  1864.  120.  pp.  70.  Plates. 

Lo-Looz,  (R. ),  chevalier  de.  Recherches  d’an- 
tiquites  militaires,  avec  la  defense  du  Chevalier  Fol- 
lard,  contre  les  allegations  inferees  dans  les  Me- 
moires  militaires  sur  les  Grecs  & sur  les  Romains. 
Paris,  1770.  40.  pp.  xxiv.,  226,  f.  (i).  Plates. 

Reed,  H.  T.,  compiler.  Elements  of  military 
science  and  tactics,  prepared  for  cadets  at  colleges 
and  academies,  and  military  students  generally. 
Baltimore,  1882.  18®.  f.  (i),  pp.  469. 

Wheeler,  J.  B.  A course  of  instruction  in  the 
elements  of  the  art  and  science  of  war.  New  York, 
1879.  120.  pp.  xiv.,  (5)-326.  Plans. 

Wilhelm,  T.  A military  dictionary  and  gazet- 
teer; with  appendix  containing  the  Articles  of  war, 
etc.  Revised  ed.  Philadelphia,  1881.  8®.  pp.  659. 
Plates. 

a.  Cavalry. 

Denison,  G.  T.  A history  of  cavalry  from  the 
earliest  times,  with  lessons  for  the  future.  London, 
1877.  8®.  pp.  xxii.,  f.  (l),  pp.  567.  Maps  and 

plans. 

Verdy  du  Vernois,  I.  von.  Studies  in  troop 
leading ; translated  from  the  German  by  H.  J.  T. 
Hildyard.  Pt.  i.,  ii.  London,  1872.  8®.  pp. 

viii.,  144.  Plans. 

b.  Military  Engineering. 

Ernst,  O.  H.  A manual  of  practical  military  en- 
g neering.  New  York,  1873.  12®.  pp.  296. 

J lates. 

Great  Britain — School  of  military  eitgineering, 
Chatham.  Instruction  in  military  engineering.  Vol. 
i.,  pt.  2-5.  London,  1879, ’78.  4 pt.  8®.  Plates. 

Cofttents  : — 2.  Attack  of  fortresses.  — 3.  Military  bridges.  — 
4.  Military  mining. — 5.  Miscellaneous. 

Pt.  2,  4,  5,  2d  ed.  ; pt.  3,  3d  ed. 

Straith,  H.  A treatise  on  fortification,  with  ob- 
servations on  the  increased  effects  of  artillery.  Croy- 
don, 1833.  8®.  f.  (i),  pp.  XX vi.,  f.  (i),  pp.  409. 

c.  Field  Service. 

Wolseley,  Sir  G.  J.  The  soldier’s  pocket-book 
for  field  service.  3d  ed.  l.ondon,  1874.  sq.  16®. 
pp.  ix.,  f.  (i),  pp.  399.  IVdcts. 

d.  Gunneyy  and  Projectiles. 

Benton,  J.  G.  A course  of  instruction  in  ord- 
nance and  gunnery.  4th  ed.  New  York,  1875.  8®. 

pp.  585.  IVdcts. 

Diirer,  A.  Pitliche  vnderricht,  zu  befestigung  | 
der  Stett,  Schloss,  vnd  flecken.  [Nuremberg,  1527.] 
4®.  Plates  and  wdcts. 

This  copy  is  imperfect,  lacking  signatures  A,  AiiL,  B,  and 
all  after  K iv. 

Mersenne,  M.  Ballistica  et  acontismologia ; in 
qua  sagiltarum,  iaculoruin,  & aliorum  missilium 


iactus,  & robur  arcuum  explicantur.  Parisiis,  1644. 
4®.  ff.  (6),  pp.  140.  t^In  his  Cogitata  physico- 
mathematica). 

Moore,  W.  On  the  motion  of  rockets  both  in 
resisting  and  nonresisting  mediums.  [London, 
1811.]  8®.  pp.  (24i)-254.  Plate. 

In  Nicholson’s  “Journal  of  natural  philosophy,  chemistry, 
and  the  arts,’’  xxix.,  no.  134. 

Steenstra,  P.  De  pulveris  pyrii  theoria. — Diss. 
inaug.  Lugduni  Batavorum,  1763.  4®.  f.  (i), 

PP-  35+»  f-  (I)- 

Tartaglia,  N.  La  Nona  Scientia  . . con  vna 
gionta  al  terzo  Libro.  . . At  end:  In  Vinegia, 

Per  Curtio  Troiano  de  i Nauo.  [M.D.LVIII.]- 
M.D.LXII.  4®.  ff.  (4),  32,  5-94,  (32).  Wdcts. 

e.  Organization. 

Schellendorf,  B.  von.  The  duties  of  the  gen- 
eral staff;  translated  by  W.  A.  H.  Hare.  London, 
1877-80.  2 V.  8®.  Plan. 

f.  Outposts. 

Hamley,  (E.  B. ).  A chapter  on  outposts.  2d 
ed.  Edinburgh,  etc.,  1875.  PP-  56. 

g.  Strategy  and  Tactics. 

Boguslawski,  A.  von.  Tactical  deductions 
from  the  war  of  1870-71 ; translated  by  L.  Graham. 
3d  ed.  London,  1874.  8®.  pp.  xxii.,  f.  (i),  pp. 

184. 

Clery,  C.  Minor  tactics.  5th  ed.  London, 
1880.  8®.  pp.  xii.,  350.  Plans. 

De  Peyster,  J.  W.  Practical  strategy,  as  illus- 
trated by  the  achievements  of  the  Austrian  field  mar- 
shal Traun.  Catskill,  [N.  Y.],  1863.  8®.  pp.  64. 

Dufour,  G.  H.  Strategy  and  tactics  ; translated 
by  W.  P.  Craighill.  2d  ed.  New  York,  1878. 
12®.  pp.  400. 

Helvig,  H.  Tactical  examples ; translated  by 
Sir  L.  Graham.  London,  1877-78.  2 v.  8®. 

Plans. 

Contents: — i.  The  battalion. — ii.  The  regiment  and  brigade. 

Home,  R.  A precis  of  modern  tactics,  compiled 
from  the  works  of  recent  continental  writers.  Lon- 
don, 1878.  8®.  pp.  xiii.,  243.  Plate,  maps  and 

plans. 

Malorti  (de  Martemont,  C.  S.).  A treatise 
on  the  attack  and  defence  of  fortified  places.  Lon- 
don, 1824.  8®.  pp.  xi.-j-,  238. 

Shaw,  W.  J.  The  elements  of  modern  tactics, 
practically  applied  to  English  formations.  2d  ed. 
London,  1880.  8®.  pp.  xxii.,  319.  Plates  and 

maps.  {In  Brackenbury,  C.  B.,  editor.  Mili- 
tary handbooks  for  officers  and  non-commissioned 
officers,  vii. ) 

Navigation. 

{See  also  Latitude  and  Longitude.) 

Bowditch,  N.  The  new  American  practical 
navigator;  being  an  epitome  of  navigation,  contain- 
ing all  the  tables  necessary  to  be  used  with  the  naut- 
ical almanac;  the  whole  exemplified  in  a journal 
kept  from  Boston  to  Madeira;  with  tables.  1st  ed. 
Newburyport,  Mass.,  1802.  8®.  pp.  589-I-,  f-  (i)+* 
Chart  and  plate. 

Pages  (247)-(532)  are  unnumbered. 

Same;  continued  by  J.  1.  Bowditch.  35th 

stereotype  ed.  New  York,  1867.  8®.  f.  (i),  pp. 

8,  (iii.  )-xix.-|-,  289,  460.  Chart  and  plates. 

Chauvenet,  W.  New  method  of  correcting 
lunar  distances,  and  improved  method  of  finding  the 


CORNELL  UNIVERSITY. 


67 


error  and  rate  of  a chronometer  by  equal  altitudes. 
New  York,  1868.  8®.  pp.  86. 

“ From  the  appendix  to  the  American  ephemeris  for  1857.” 

Chauvenet,  W.,  and  J.  H.  C.  Coffin.  Navi- 
gation and  nautical  astronomy.  4th  ed.  New 
York,  1868.  120.  pp.  283. 

Collins,  J.  The  mariners  plain  scale  new 
plain’d : or,  A treatise  shewing  the  ample  uses  of  a 
circle  equally  divided,  or  of  a line  of  chords  and 
equal  parts ; divided  into  three  parts.  London, 
1659.  sm.  40.  ff.  (6),  pp.  56,  128,  ff.  (2),  pp.  67, 
flf.  (2),  pp.  36.  Plate. 

Each  part  has  also  a separate  title-pa^e ; that  of  pt.  i.  being 
as  follows : “ Navigation  by  the  manners  plain  scale  new 
plain’d ; or,  A treatise  of  geometrical  and  arithmetical  naviga- 
tion,” etc. 

On  account  of  the  difference  of  its  title  pt.  i.  has  been  treated 
by  Watt  as  a separate  work. 

Day,  J.  The  mathematical  principles  of  naviga- 
tion and  surveying  with  the  mensuration  of  heights 
and  distances.  3d  ed.  New  Haven,  1831.  80. 

ff.  (2),  pp.  1 19.  Plates. 

Pilaar,  J.  C.  Handleiding  tot  de  beschouwende 
en  Werkdadige  stuurmanskunst.  Leiden,  etc.,  1837. 
2 V.  8°.  Plates. 

Vol.  ii.  is  composed  of  tables  and  problems. 

Raper,  H.  Rules  for  finding  distances  and 
heights  at  sea.  London,  1831.  8®.  f.  (i),  pp.  7. 

Lettered  “ Mathematical  pamphlets.” 

Tuxen,  S.  L.  Loerebog  i Styrmandskunsten, 
eller  Styrmandskunsten  practisk  og  theoretisk  fork- 
laret,  tilligemed  de  dertil  fornodne  Tabeller.  i^te 
Deel.  Kjobenhavn,  1833.  8®.  pp.  419,  ff.  (2). 

Plates. 

"Wall,  J.  van  der.  De  navigandi  arte. — [Diss.] 
inaug.  [Lugduni  Batavorum],  1756.  40.  ff.  (3), 

pp.  61.  Plate. 

a.  Mathematical  Geogtaphy. 

Emerson,  W.  The  mathematical  principles  of 
geography.  London,  1770.  8“.  f.  (i),  pp.  viii., 

ii.,  172.  Plates. 

Stoltzing,  . Ueber  den  Unterricht  in  der 

mathematischen  Geographie.  Ilersfeld,  1866.  8«. 

pp.  32.  Plates. 

Wiegand,  A.  Grundriss  der  mathematischen 
Geograpliie.  7«  AuH.  Halle,  1869.  8°.  pp.  xii., 

80.  (/«  Wiegand,  A.,  and  others.  Mathemat- 

ische  und  physikalische  Geographie  nebst  Chronol- 
ogic, i.) 

Permutations  and  Combinations. 

Hindenburg,  K.  F.  Novi  systematis  permuta- 
tionum  combinationum  ac  variationum  jirimae  lineae 
et  logisticae  serieruin  formulis  analytico-combina- 
toriis  per  tabulas  exhibendae  conspectus  et  speci- 
mina.  Jdpsiae,  1781.  4°.  pp.  xii.,  Ixxxiii. 

Maseres,  F.,  compiler  translator.  The  doc- 
trine of  1 erinutations  and  combinations,  being  an 
essential  and  fundamental  part  of  the  doctrine  of 
chances.  London,  1795.  o®.  pp.  viii.,  xvi.,  606. 

Contents: — Bernoulli,  J.  Artis  conjectandi,  pars  ii. — 
Traiislaiioii. — Simpson,  T.  Method  of  finding  tlie  sum  of 
any  series  of ' powers  of  a set  of  quantities  in  arithmetical  pro- 
gression.— Maseres,  F.  An  investigation  and  demonstration 
of  Newton’s  binomial  theorem  in  the  ca.se  of  integral  and  affirm- 
ative powers.  — Wallis,  J.  A discourse  of  combinations,  alter- 
nations, and  aliquot  parts.  — Brancker,  T.  Appendix  to  [his] 
translation  of  Rhonius's  Algebra,  containing  a table  of  [inconi- 
poslts], — Maseres,  F.  Rational  numbers  that  express  the 

tides  of  right-angled  triangles.  — 1 tifferences  of  the 

cubes  of  1-100.  — On  De  Lagney’s  method  of  approxi- 

mating to  the  cube  root  of  any  number  when  the  two  or  three 

first  figures  of  the  cube-root  are  known. — On  Kaph- 

ion’s  method  of  resolving  affected  equations  by  appnjximation. 
— Dodson,  J.  'I'able  of  square  and  cube  roots,  1-180.  — Hut- 


ton, O.  Table  of  square  roots  and  reciprocals,  i-iooo. — 
Account  of  the  foregoing  table. 

Physics. 

{See  also  Mechanics  and  Meteorolog/.) 

[Allen,  S.  M.]  Actien : a new  law  in  physics  ; 
the  letters  of  “Alpha,”  embracing  a new  theory  of 
the  origin  of  light,  heat,  [etc.].  Boston,  1876.  120. 

pp.  61. 

Anthony,  W.  A.  Notes  of  a course  of  lectures 
upon  physics  delivered  before  the  classes  of  the  Cor- 
nell university.  Ithaca,  N.  Y.,  1874.  8®.  pp.  156. 

Bartlett,  W.  H.  C.  Elements  of  natural  phil- 
osophy: ii..  Acoustics ; iii..  Optics.  5th  ed.  New 
York,  1868.  pp.  365.  IVdcts. 

Two  copies.  Pt.  i..  Mechanics,  and  iv,.  Spherical  astrono- 
my, are  catalogued  elsewhere. 

Biot,  J.  B.  Precis  elementaire  de  physique  ex- 
perimentale.  3^  ed.  Paris,  1824.  2 v.  8®.  Plates. 

Boutan,  A.,  et  J.  C.  d’ Almeida.  Cours  el6- 
mentaire  de  physique  suivi  de  problemes.  3®  ed. 
Paris,  1867.  2 V.  8®.  IVdcts. 

Brooke,  C.  The  elements  of  natural  philoso- 
phy ; or.  An  introduction  to  the  study  of  the  phys- 
ical sciences  ; based  on  the  treatise  by  G.  Bird.  3d 
ed.  London,  1867.  16®.  pp.  xxxii.,  851.  IVdcts. 

Buckmaster,  J.  C.  The  elements  of  acoustics, 
light,  and  heat ; revised  and  enlarged  by  C.  Lees. 
5th  ed.  London,  1S71.  16®.  pp.  xii.,  186.  IVdcts. 

Challis,  J.  Notes  on  the  principles  of  pure  and 
applied  calculation  ; and  applications  of  mathemat- 
ical principles  to  theories  of  the  physical  forces. 
Cambridge,  1869.  8®.  pp.  (iii. )-lxiv.,  696.  Plate. 

Dagiiin,  P.  A.  Traits  elementaire  de  physique 
th^orique  et  experimentale,  avec  les  ajiplications  a la 
m^teorologie  et  aux  arts  industriels.  2«  ^d.  Tou- 
louse, etc.,  1861-62.  4 V.  8‘>.  IVdcts. 

Contents:  — i.  Pesanteur. — Des  corp<^  consicl^res  s6par6- 
ment  sous  les  trois  etals.  — Des  corps  en  vibration.  — ii.  Cha- 
leur. — iii.  Electricite  et  magnetisme. — iv.  Optiiiue. 

Eisenlohr,  W.  Lelnbuch  der  I’hysik.  loeAufl. 
Stuttgart,  1870.  8<>.  pp.  viii.,  808.  IVdcts. 

Enfield,  W.  I nstitutes  of  natural  })hilosophy, 
theoretical  and  experimental.  London,  1785.  4*’. 

pp.  xii.,  353.  I'lates. 

Contents  : — Matter.  — Mechanics.  — Hydrostatics  and  pneu- 
matics. — Optics.  — Astronomy.  — Magnetism.  — Electricity. 

Encssoii,  J.  Contributions  to  the  Centennial 
exhibition.  New  York,  1876.  40.  pp.  xx.,  577. 

Port.,  plates  and  7udcts. 

Consists  principally  of  researches  In  radiant  heat  and  descrip- 
tions of  the  author’s  inventions. 

Ettingshausen,  A.  voii.  Die  1‘rincipien  der 
heutigen  Bhysik.  Wien,  [1857].  4“.  pp.  19. 

Ferguson,  J.  Lectures  on  select  subjects  in  me- 
chanics, hydrostatics,  hydraulics,  jineumatics,  and 
optics;  with  the  use  of  the  globes,  the  art  of  dialing 
[j/V],  and  the  calculation  of  the  mean  times  of  new 
and  full  moons  and  eclipses.  9th  ed.  London, 
1799.  80.  ff.  (6),  pp.  396,  ff,  (3),  pp.  48.  Plates. 

Frick,  J.  Physical  technics ; or.  Practical  in- 
structions for  making  experiments  in  physics,  and 
the  construction  of  physical  apparatus  ; translated  by 
J.  D.  Easter,  Philadelphia,  1861.  8®.  pp.  467. 

IVdcts. 

Ganot,  (A.).  Elementary  treatise  on  physics 
experimental  and  applied  ; translated  and  edited  by 
IL  Atkinson.  5th  ed.  New  York,  1872.  1.  12”. 

l)p.  xi.-j-,  828.  IVate  and  7vdcts. 

Greene,  R.  I'lie  princijilcs  of  the  philos<iphy  of 
the  exjiansive  and  contractive  forces;  or.  An  inf|uiry 
into  the  principles  of  the  modern  philosophy,  that  is. 


68 


WORKS  RELA  TING  TO  MA  THEM  A TICS. 


into  the  several  chief  rational  sciences  which  are  ex- 
tant. Cambiidge,  1727.  fo.  tf.  (8),  pp.  981. 

Contents  : — The  principles  of  the  mechanical  philosophy.  — 
Physical  astronomy.  — Anatomy,  Chymistry,  Pneumaticks, 
Hydrostatics. — Opticks,  Dioptricks,  Catoptricks.  — Metaphys- 
icks,  Logicks.  — Ethicks.  — Algebra.  — Miscellanea. 

Guillemin,  A.  Les  phenomenes  de  la  physique. 
Paris,  1868.  80.  f.  (i),  pp.  hi.,  780.  Plates  and 

wdcts. 

Helmholtz,  H.  (L.  M. ).  Populare  wissenschaft- 
liche  Vortrage.  Braunschweig,  1865-71.  80.  2 

Ilefte  in  i Bd.  Wdcts. 

Contents:  — i.  Ueber  das  Verhaltniss  der__Naturwissen- 
schaften  zur  Gesammtheit  der  Wissenschaft.  — Uber  Goethe’s 
naturwissenschaftliche  Arbeiten.  — Uber  die  pbysiologischen 
Ursachen  der  musikalischen  Harmonie.  — Eis  imd  Gletscher. 
1865.  — ii.  Die  neueren  Fortschritte  in  der  Theorie  des  Sehens: 
I.  Der  optische  Apparat  desAuges;  2.  Die_  Gesichtsempfind- 
ungen  ; 3.  Die  Gesichtswahmehmungen. — Uber  die  Wechsel- 
wirkung  der  Naturkrafte  und  die  darauf  bezuglichen  neuesten 
Ermittelungen  der  Physik.  — liber  die  Erhaltung  der  Kraft.  — 
liber  das  Ziel  und  die  Fortschritte  der  Natur wissenschaft. 

Herschel,  Sirl.  F.  W.  A preliminary  discourse 
on  the  study  of  natural  philosophy.  Philadelphia, 
1831.  120.  pp.  vii.-f-,  279.  (/«  Lardner,  D., 

and  others.  The  cabinet  cyclopedia:  Natural  phil- 
osophy.) 

Jackson,  J.  The  substance  of  twelve  lectures 
on  select  subjects  in  natural  philosophy,  chemistry, 
mineralogy,  geology,  and  astronomy;  taken  in  short 
hand  by  J.  Broader.  London,  1825.  12.  pp.  xviii., 

444.  Plate. 

Jamin,  J.  (C.).  Cours  de  physique  de  I’^cole 
polytechnique.  Paris,  1863-68,  ’66.  3 v.  80. 

Plates  and  wdcts. 

Plates  i.,  ii.,  2*  ed. 

Same.  3®  ^d.,  augment^e  et  refondue  par 

Jamin,  Bouty.  Tome  ii.  Paris,  1878.  8®.  Plates. 

Lardner,  D.  Handbook  of  natural  philosophy. 
London,  1866,  ’65-66.  4 v.  sm.  8®.  Wdcts. 

Contents  : — [i.]  Mechanics.  — [ii.]  Hydrostatics.  — Pneu- 
matics. — Heat.  — [iii. ] Optics.  — Acoustics.  — [iv. ] Electric- 
ity. — Magnetism.  — ^Ieteorology. 

Vol.  [i.],  8th  thous. : Hi.],  7th  thous. ; [iii.],  sth  thous. ; [iv.], 
7th  thous.,  “edited  by  C.  G.  Foster.” 

Handbooks  of  natural  philosophy  and  as- 
tronomy. Philadelphia,  1855.  5 v.  in  3.  80. 
Plates  and  ludcts. 

Contents  : — 1st  series.  Mechanics.  — Hydrostatics.  — Hy- 
draulics. — Pneumatics.  — Sound.  — 2d.  Heat.  — Magnetism. 
— Common  electricity. — Voltaic  electricity.  — 3d.  Meteorolo- 
gy. — Astronomy. 

Lees,  W.  Elements  of  acoustics,  light,  and 
heat.  New  York,  1873.  ^60.  pp.  140.  Wdcts. 
(Putnam’s  elementary  science  series,  [viii.].) 

Levi- Alvaros,  D.  La  physique  popularisde ; 
ou,  Les  pourquoi  et  les  parce  que.  lO®  ^d.  Paris, 
1840.  180.  pp.  216. 

Loomis,  E.  Elements  of  natural  philosophy. 
New  York,  1858.  12®.  pp.  351.  Wdcts. 

Marcet,  Mrs.  J.  (H.).  Conversations  on  natural 
philosophy.  13th  ed.  London,  1858.  sm.  8®.  pp. 
XV. -j-,  504.  Plates. 

Maxwell,  J.  C.  Matter  and  motion.  New 
York,  1878.  180.  pp.  224.  (Van  Nostrand's 

science  series,  36.) 

Mayer,  A.  M.  Lecture-notes  on  physics.  Pt. 
i.  Philadelphia,  1868.  8".  pp.  112,3.  Plates. 

Contents: — Definitions  and  introduction  to  the  inductive 
methofl.  — Instruments  used  in  precise  measurements.  — Meth- 
ods of  preci>ion.  — .Manners  of  expressing  a law.  — Law  evolved 
from  the  numerical  results  of  observations  and  experiments.  — 
General  properties  of  matter. — The  constitution  of  matter  ac- 
cording to  the  molecular  hypothesis.  — Capillary  attraction. 

Pouillet,  C.  S.  M.  M.  R.  l.chrbuch  der  Phys- 
ik und  Meteorologie ; theilwci.se  nach  I’ouillet’s 
Lehrbuch  der  Physik  selbstandig  bearbeitet  von  J. 


[H.  J.]  Muller.  7®  Aufl.  Braunschweig,  1868. 
2 V.  8®.  Plates  and  wdcts. 

Contents  : — i.  Mechanik.  — Akustik.  — Optik.  — ii.  Die 
elektrischen  Erschein ungen. — Von  der  Warme. — Meteorologie. 

I.ettered  ''  ^IxxW^x's,  Lehrbuch,”  etc. 

Same.  8®  Aufl.,  bearbeitet  von  L.  Pfaund- 

ler.  Braunschweig,  1877-81.  3 v.  in  4.  8®. 

Plates  and  wdcts. 

Contents:  — i.  Mechanik. — Akustik. — ii.,  1.  Optik. — ii., 
2.  Von  der  Warme. — iii.  Electricitat. 

Privat  Deschanel,  A.  Elementary  treatise  on 
natural  philosophy ; translated  and  edited  by  J.  D. 
Everett.  London,  1872.  8®.  f.  (i),  pp.  xxviii., 

1050.  Plates  and  wdcts. 

Quackenbos,  G.  P.  A natural  philosophy; 
embracing  the  most  recent  discoveries  in  the  various 
branches  of  physics.  New  York,  i860.  12®.  pp. 

450.  Wdcts. 

Silliman,  '&.,jr.  Principles  of  physics  or  natu- 
ral philosophy.  2d  ed.  Philadelphia,  1861.  12®. 

pp.  (iii.)-xxvii.,  710.  Plate  dead  wdcts. 

Steele,  J.  D.  Fourteen  weeks  in  physics.  New 
York,  etc.,  1879.  12®.  pp.  (iii.)-305.  Wdcts. 

Tait,  P.  G.  Lectures  on  some  recent  advances 
in  physical  science ; with  a special  lecture  on  force. 
2d  ed.  London,  1876.  8®.  pp.  xx.,  363. 

Thomson,  Sir  W.,  and  P.  G.  Tait.  Treatise 
on  natural  philosophy.  Vol.  i.  Oxford,  1867.  8®. 

pp.  xxiii.,  727.  (Clgjendon  press  series.) 

Contents  : — Preliminary  notions.  — Abstract  dynamics. 

Weinhold,  A.  F.  Vorschule  der  Experimental- 
physik  ; Naturlehre  in  elementarer  Darstellung, 
nebst  Anleitung  zum  Experimentiren  und  zur  Anfer- 
tigung  der  Apparate.  Leipzig,  1872.  8®.  pp. 

(iii.  )-x.,  f.  (i),  pp.  529.  Plates  and  wdcts. 

Wells,  D.  A.  Natural  philosophy.  New  York, 
etc.,  1857.  * 12®.  pp.  452.  Wdcts. 

Wiillner,  A.  Lehrbuch  der  Experimental- 
physik.  2®  Ausg.  Leipzig,  1866.  2 v.  in  4.  8®. 

Plates  and  %vdcts. 

Contents:  — i.,  1.  Mechanik. — Akustik. — i.,  2.  Optik. — 
ii.,  1.  Warme-Lehre. — ii.,  2.  Magnetismus.  — Electneitat. 

a.  Acoustics. 

Airy,  Sir  G.  B.  On  sound  and  atmospheric  vi- 
brations, with  the  mathematical  elements  of  music. 
London,  etc.,  1868.  8®.  pp.  xvi.,  263.  Plates. 

Auerbach,  F.  Untersuchungen  iiber  die  Natui 
des  Vocalklanges. — Inaug.-Diss.  Berlin,  1876.  8®. 
ff.  (2),  pp.  51. 

Lettered  “ Wissenschafthche  Vortrage  von  Felix  Auerbach.' 

Donkin,  W.  F.  Acoustics ; Theoretical,  pt.  i. 
Oxford,  1870.  sm.  8®.  pp.  vi.,  f.  (i),  pp.  202. 
(Clarendon  press  series.) 

Galbraith,  W.  On  the  velocity  of  sound.  [Lon- 
don, 1825.]  8®.  pp.  109-115. 

“ Philosophical  transactions  of  the  Royal  society,”  Ixvi.,  328, 
Aug.  1825. 

Helmholtz,  H.  (L.  F.).  Die  Lehre  von  den 
Tonempfindungen  als  physiologische  Grundlage  fiir 
die  Theorie  der  Musik.  3®  Ausg.  Braunschweig, 
1870.  8®. 

Henry,  J.  A summary  of  researches  in  sound  : 
conducted  in  the  service  of  the  United  States  light- 
house board  during  the  years  1865-77.  Washing- 
ton, 1879.  8®.  f.  (i),  pp.  455-559- 

From  the  Smithsonian  report  for  1878. 

Miittrich,  J.  A.  Beitrag  zur  Lehre  von  den 
Schwingungen  der  Elachen.  Konigsberg,  1837. 
4®.  f.  (i),  pp.  8.  Plate. 

Peirce,  B.  An  elementary  treatise  on  sound ; 
being  the  second  volume  of  a Course  of  natural  phil- 
osophy. Boston,  1836.  8®.  pp.  Ivi.,  220.  Plates. 


CORNELL  UNIVERSITY. 


Radan,  R.  Wonders  in  acoustics;  or,  The  phe- 
nomena of  sound ; from  the  P'rench ; the  English 
revised  by  R.  Ball.  London,  [1870].  sm.  8®. 

b.  Atomic  Theory. 

Bayma,  J.  The  elements  of  molecular  mechan- 
ics. London,  etc.,  1866.  8°.  pp.  xviii.,  2*66. 

Plates. 

Daubeny,  C.  . An  introduction  to  the  atomic 
theory.  2d  ed.  Oxford,  1850.  80.  pp.  xxiii.,  502. 

Guldberg,  C.  M.  Bidrag  til  Legemernes  Moleky- 
lartheori.  [Christiania,  1871.  J 8®.  pp.  15. 

“ Saerskilt  aftrykt  af  Vidensk.-Selsk.  Forhandlinger  for  1871.” 

Watson,  H.  W.  A treatise  on  the  kinetic  the- 
ory of  gases.  Oxford,  1876.  8®.  pp.  viii.,  51. 

(Clarendon  press  series.) 

Wurtz,  A.  The  atomic  theory;  translated  by 
E,  Cleminshaw.  New  York,  1881.  12®.  pp.  viii., 

344.  (International  scientific  series,  29. ) 

c.  Capillarity. 

Koniecki,  . Elementare  Darstellung  der 

Capillaritatslehre.  Berlin,  [1869].  40.  f.  (i), 

pp.  46. 

Quincke,  G.  A.  De  constantibus  mercurii  cap- 
illaribus.  — Diss.  inaug.  Berolini,  [1858].  40. 

pp.  28. 

d.  Electricity  a7id  Magnetism. 

Anderson,  R.  Lightning  conductors,  their  his- 
tory, nature,  and  mode  of  application.  London, 
1880.  8«.  pp.  XV.,  256.  Plate  and  wdcts. 

Bailie,  J.  L’electricite,  2®  ed.  Paris,  1869. 
120.  ff.  (2),  pp.  xvi.,  344.  IVdcts.  (Charton,  E., 
editor.  Ifiljlioth^que  dcs  merveilles.) 

Becqiierel,  (A.  C.)  et  (A.)  E.  Traite  d’elec- 
tricite  et  de  magnetisme,  et  des  applications  de  ces 
sciences  a la  chimie,  a la  jdiysiologie  et  aux  arts. 
Paris,  1855-56.  3 V.  8«.  Jdates  and  wdcts. 

Cofi/ents  : — i.  Principes  g^neraiix. — ii.  Electrochimie. — 
iii.  Magnetisme  et  electro-magnetisme. 

Buckmaster,  J.  C.  i'he  elements  of  magnet- 
ism and  electricity;  revised  by  C.  Lees.  6lh  ed. 
Ltmdtm,  1872.  i6«.  p[).  xii.,  212.  IVdcts. 

Christoffel,  E.  B.  De  motu  permanenti  elec- 
tricitatis  in  corporibus  homogeneis. — Diss.  inaug. 
Berolini,  [1856].  40.  pj).  62,  f.  (i).  Plate. 

Cumniing,  L.  An  introduction  to  the  theory  of 
electricity.  London,  1876.  8<‘.  pp.  xiv.,  266. 

Same.  2d  ed.  London,  1879.  8^^.  pp. 

XV.,  308. 

Davy,  M.  Recherches  th^oriques  et  experimen- 
tales  sur  P^lectricite  consideree  au  point  de  vue  me- 
canique.  J*aris,  1861.  8®,  ff.  (2),  pp.  viii.,  235-f-. 

Dellmann,  J.  F.  G.  Ueber  die  Cesetzmiissig- 
keit  und  die  i'heorie  des  I'dectricitiits-Yerlustes. 
Kreuznach,  1864.  4^.  pp.  28. 

Du  Moiicel,  T.  (A.  L.),  comte.  I'Npose  des 
applications  de  Pelectricit^.  3®  6d.  Paris,  1872-78. 
5 V.  8‘*.  Plates  and  ivdcts. 

Coutenis  : — i.,  ii.  'I'cchnologie  electrique. — iii.  Telegra- 
phic ^lectruiue. — iv.  Applications  mecanicpies  de  I’electricite. 
— V.  Applications  industricllcs  de  I’eiectricite. 

Notice  sur  Pappareil  d’induction  electrkjue 

de  Ruhmkorff,  et  les  experiences  que  Pon  jteut  faire 
avec  cet  instrument.  Paris,  1855.  8".  ff.  (2),  pp. 

152.  Wdcts. 

Enschede,  W.  A.  De  calore  qui  excitatur  elec- 
tricitate. — [Diss.  inaug. I Lugduni-Batavorum,  18^. 
4^-  (3).  PP-  77.  («)• 

Ermerins,  J.  J.  De  lege  repulsionis  electricae. 


69 


Lugduni  Batavorum,  1828.  40.  f.  (3),  pp.  54. 

Tables. 

Fontaine,  H.  Eclairage  b.  Pdlectricitd.  Paris, 
1877.  80.  pp.  xv.-(-,  239.  Wdcts. 

Franklin,  B.  PNperiments  and  observations  on 
electricity,  made  at  Philadelphia,  in  America;  [and] 
letters  and  papers  on  philosophical  subjects.  Lon- 
don, 1769.  40.  ff.  (3),  pp,  496,  ff.  (8).  Plates 

and  7vdcts. 

Gavarret,  J.  Traite  d’electricite.  Paris,  1807 
\_mistake  for  185 73-58.  2 v.  120.  Wdcts. 

Gintl,  W.  F.  Studien  fiber  Crookes’  strahlende 
Materie  und  die  mechanische  Theorie  der  Electrici- 
tat.  Prag,  1880.  8®.  pp.  20. 

Gordon,  J.  E.  H.  A physical  treatise  on  elec- 
tricity and  magnetism.  New  York,  1880.  2 v.  8®. 

Plates  and  wdcts. 

Contents  : — i.  Electro-statics. — IMagnetism. — Electro-kinet- 
ics. — ii.  Electro-kinetics  (continued).  — Electro-optics. 

Harris,  W.  S.  Rudimentary  electricity ; show- 
ing the  general  principles  of  electrical  science,  and 
the  purposes  to  which  it  has  been  applied.  6th  ed., 
with  additions,  including  extracts  from  the  Caven- 
dish papers,  and  index.  London,  1869.  12®.  pp. 

vi.,  200.  Wdcts.  (Weale’s  rudimentary  science 
series,  7.) 

Henry,  J.  Contributions  to  electricity  and  mag- 
netism. Philadelphia,  1839.  40.  ff.  (2),  pp. 

(i7)-5i- 

“ From  the  transactions  of  the  American  philosophical  so- 
ciety, vol.  vi.” 

Higgs,  P.  Electric  transmission  of  power  : its 
present  position  and  advantages.  London,  1879. 
sm.  8'>.  pp.  viii.,  87.  IVdcts. 

Jenkin,  F.  Electricity  and  magnetism.  4th  ed. 
New  York,  1878.  8®.  pp.  xxii.,  f.  (i),  pp.  391. 

Wdcts. 

La  Rive,  A.  de.  A treatise  on  electricity,  in 
theory  and  practice.  ['I'ranslated  for  the  author  by 
C.  V.  Walker.]  London,  1853-58.  3 v.  80. 

Wdcts. 

Contents: — i.  Preliminary  notions. — Static  electricity. — 
Magnetism  and  electro-dynamics. — ii.  Appendi.x  to  Magnet- 
ism and  electricity. — 'I  ransmission  of  electricity. — Sources  of 
electricity.  — iii.  Relations  of  electricity  to  natural  phenomena. 
— Aijplications  of  electricity.  — Appendix. 

Laurencin,  P.  L’etincelle  electrimie,  son  his- 
toire,  ses  applications.  Paris,  1869.  io<>.  j)p.  228, 

f.  (1).  Wdcts.  (Biblioth^que  de  la  science  pit- 
toresque. ) 

Lorberg,  H.  Zur  d'heorie  der  Bewegung  der 
Electricilal  in  Leitcrn.  [ Ruhrort,  1865. ] 4*^.  fi(i), 
pp.  32. 

Liidtge,  R.  Ueber  den  iMiifluss  mechanischer 
Verantlerungen  auf  die  magnetische  Drehungsfiihig- 
keit  einiger  Substanzen.  Inaug.-diss.  Berlin, 
[1869].  sm.  8‘*.  f.  (i),  j)p.  33,  f.  (i).  Plate. 

Maxwell,  J.  C.  A treatise  on  electricity  and 
magnetism.  Oxford,  1873.  2 v.  8^  Plates  and 

wdcts. 

Most, . Potentialbetrachtungen  mit  Berfick- 

sichtigung  magnetischer  und  elektrischer  Krfifte. 
.Stettin,  1862.  4‘>.  pp.  34. 

Noad,  H.  M.  A manual  of  electricity,  includ- 
ing  galvanism,  magnetism,  diamagnetism,  electro- 
dynamics, magneto-electricity  and  the  electric  tele- 
graph. 4th  ed.  London,  1859.  8“.  ])p.  iv.,  910. 

Nollet  or  Nolet,  (J.  A.).  Lettres  sur  I’filec- 
tricite,  dans  lesfjuelles  on  examine  les  decouvertes 
((ui  ont  6tfi  faites  sur  cette  matiere  depths  I’anuee 
1752,  & les  consetjuences  que  I’on  en  pent  tirer. 
Paris,  1764-70.  3 V.  i8<>.  Plates. 

Vol.  i.,  ii.,  “Nouv.  6d.” ; vol.  iii.,  2®  6d. 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


70 


Palniieri,  L.  Description  du  s^smographe  dec- 
tro-magnetique  appareil  enregistreur  des  tremble- 
ments  de  terre,  et  de  I’appareil  a conducteur  mobile 
avec  Telectrometre  Ijifiliare  pour  les  observations 
comparables  de  I’electricite  atmospherique ; traduc- 
tion fran^aise  de  A.  Mauche.  Naples,  1869.  40. 

pp.  16.  Plates. 

Riess,  P.  T.  Die  Lehre  von  der  Reibungselek- 
tricitat.  Berlin,  1853.  2 v,  80.  Plates. 

Contents:  — i.  Der  elektrische  Zustand. — Wirkungen  elek- 
trisirter  Korper  wahrend  ihrer  Isolation. — Wirkungen  elek- 
trisirter  Korper  wahrend  ihrer  Entladung. — ii.  Wirkungen 
elektrisirter  Korper  wahrend  ihrer  Entladung  (Fortsetzung). — 
Mechanismus  der  elektrischen  Entladung  und  ihrer  Wirkungen. 

— Wirkung  des  Schliefsungsbogens  der  Batterie  in  die  Feme.  — 
Die  Erregung  der  Elektricitat.  — Die  atmospharische  Elek- 
tncitat. 

Same:  Abhandlungen.  Berlin,  1867.  8®. 

pp.  vi.,  394.  Plate. 

Rijke,  P.  L.  De  origine  electricitatis  voltaicse. 

— [Diss.  inaug.]  Trajecti  ad  Mosam,  1836.  40. 

pp.  81,  f.  (i). 

Rollmann,  W.  Die  Thermoelektricitat.  Stral- 
sund,  [1859].  40.  f.  (i),  pp.  38. 

Stebbins,  J.  H.  Some  facts  about  the  electric 
light  in  Paris.  [New  York,  1878.]  80.  pp.  20. 

Svauberg,  A.  F.  Forsok  att  forklara  orsaken 
till  den  dynamiska  thermo-elektriciteten.  Upsala, 
1851.  40.  f.  (i),  pp.  12. 

Thomson,  Sir  W.  Reprint  of  papers  on  elec- 
tro-statics and  magnetism.  London,  1872.  80.  pp. 

XV.,  592.  Plates  2i\\d.  wdcts. 

Varley,  C.  F.  Some  experiments  on  the  dis- 
charge of  electricity  through  rarefied  media  and  the 
atmosphere  ; and  on  the  polarization  of  metallic  sur- 
faces in  aqueous  solutions.  London,  1871.  8®. 

pp.  (235)-246.  Plates. 

“ From  the  Proceedings  of  the  Royal  society,  no.  125,  1871.” 

I.  Electrical  Measnretnent. 

Clark,  L.  An  elementarv  treatise  on  electrical 
measurement.  London,  1868.  8®.  pp.  viii.,  175. 

Plate  and  table. 

Jenkin,  F.,  editor.  Reports  of  the  Committee 
on  electrical  standards  appointed  by  the  British  asso- 
ciation ; with,  A report  on  units  of  electrical  resist- 
ance, and  the  Cantor  lectures.  London,  etc.,  1873. 
8‘*.  ff.  (2),  pp.  248.  Plates,  wdcts  and  tables. 

2.  Galvanism  and  Electro-chemistry. 

Auerbach,  F.  Der  Durchgang  des  galvanischen 
Stroms  durch  das  Eisen.  Leipzig,  1878.  8^.  pp. 

58.  Plate. 

Lettered  “ WLssenschaftliche  Vortragc  von  Felix  Auerbach.” 

Bachhoffner,  G.  H.  A popular  treatise  on  vol- 
taic electricity  and  electro-magnetism.  London, 
1838.  80.  pp.  35.  /date. 

Becquerel,  (A.  C.).  Elements  d’^lectro-chimie 
apprK|uee  au  sciences  naturelles  et  aux  arts.  2®  6d. 
Baris,  1864.  8”.  ff.  (2),  pp.  iii.,  626.  Wdcts. 

[Chester,  C.  T.  Description  of  an  improved 
galvanic  battery,  local  battery,  and  improved  insu- 
lator.] n.  p.,  n.  d.  8®.  pp.  6. 

Daniell,  J.  F.  Fifth  letter  on  voltaic  combina- 
tions, with  some  account  of  the  effects  of  a large  con- 
stant battery,  and  on  the  electrolysis  of  secondary 
compounds.  London,  1839.  4'’.  f.  ( i ),  pp.  89-1 12. 

” From  the  Philosophical  transaction;;,  pt.'  i.,  1839.” 

Lettered  “ Mathematical  tracts.” 

Hittorf,  W.  De  iontum  migrationibus  electro- 
lyticis.  Pars  i.  Monastcrii  Guestphalorum,  1853. 
40.  f.  (i),  pp.  19.  Plate. 

Kiihiiert,  E.  H.  Ueber  die  Quelle  der  galvan- 


ischen Electricitat. — Inaug. -diss.  Marburg,  1842. 

8®.  f.  (i),  pp.  49.  Plate. 

Wiedemann,  G.  Die  Lehre  von  Galvanismus 
und  Elektromagnetismus  nebst  ihren  technischen 
Anwendungen.  Braunschweig,  1861-63.  2 v.  8®. 

Wdcts. 

Contents  : — i.  Galvanismus.  — ii.  Elektrodynamik.  — Elek- 
tromagnetismus.— Diamagnetismus.  — Induction  und  Schluss- 
capitel. 

3.  Magnetism. 

Chase,  F.  E.  On  the  numerical  relations  of 
gravity  and  magnetism.  [Philadelphia,  1864.  ] 40. 

pp.  117-136. 

“ From  the  Transactions  of  the  American  philosophical  soci- 
ety, vol.  xiii.” 

Gauss,  K.  F.  Intensitas  vis  magneticae  terres- 
tris  ad  mensuram  absolutam  revocata.  Gottingae, 

1833-  4^’.  pp.  44. 

Harris,  W.  S.  Rudimentary  magnetism  ; being 
a concise  exposition  of  the  general  principles  of  mag- 
netical  science.  2d  ed.,  revised  and  enlarged  by  H. 
M.  Noad.  London,  1872.  12®.  pp.  viii.,  412. 

Wdcts.  (Weale’s  rudimentary  science  series,  8.) 

Rogers,  F.  The  magnetism  of  iron  vessels,  with 
a short  treatise  on  terrestrial  magnetism.  New  York, 
1877.  180.  pp.  125.  Tables.  (Van  Nostrand’s 

science  series,  30.) 

Schumann,  J.  (H.  K.  E.).  Eine  neue  Tau- 
gentenboussole.  Kpnigsberg,  1862.  40.  f.  (i), 

pp.  32. 

Steblecki,  A.  Uiber  [j-Zz]  den  tellurischen 
Magnetismus.  Lemberg,  [1854].  40.  pp.  34. 

Stone,  J.  B.  Magnetic  variation  in  the  United 
States  ; being  a compilation  of  observations  made  in 
America  from  the  year  1640  to  the  present  date. 
New  York,  1878.  12®.  pp.  139. 

Tyndall,  J.  Researches  on  diamagnetism  and 
magne-crystallic  action,  including  the  question  of  dia- 
magnetic polarity.  London,  1870.  8®.  pp.  xix., 

361.  Plates. 

United  States — Bureau  of  navigation.  The 
magnetism  of  ships,  and  the  deviations  of  the  com- 
pass : [a  series  of  paper's  from  the  transactions  of 
foreign  societies  by  S.  D.  Poisson,  G.  B.  Airy,  A. 
Smith,  F.  J.  Evans,  and  W.  W.  Rundell,  with  other 
papers  and  documents ; reprinted  under  the  direc- 
tion of  T.  A.  Jenkins;  edited,  and  the  memoir  of 
Poisson  translated,  by  B.  F.  Greene.]  Washing- 
ton, 1865.  8®.  pp.  var.  Plates  and  tables. 

The  magnetism  of  ships  and  the  deviations 

of  the  compass  ; comprising  the  three  reports  of  the 
Liverpool  compass  commission,  with  additional  pa- 
pers by  Archibald  Smith  and  F.  J.  Evans.  Wash- 
ington, 1869.  8«.  pp.  xiii.,  344.  Plates. 

4.  Telegraph. 

(Most  of  the  following  titles  belong  to  what  is  known  as  the 
Morse  Collection,  being  the  works  on  the  telegraph  collected 
by  Professor  S.  F.  B.  Rlorse,  and  prese  nted  to  the  Library  by 
Ezra  Cornell.  Many  of  them  contain  Professor  Morse’s  anno- 
tations.) 

Arnoux,  E.  La  lettre  61ectrique  : nouveau  serv- 
ice teI6graphi(iue.  Paris,  1867.  8®.  ff.  (2),  pp. 

xix.,  106.  Plates. 

Baudouin,  F.  M.  Observations  sur  le  mode 
d’etablissement  des  lignes  t^legraphiques  sous-ma- 
rines.  Paris,  1858.  8®.  pp.  31. 

Blavier,  E.  E.  Cours  thdorique  et  pratique  de 
telegraphic  eiectrique.  Paris,  1857.  12®.  ff.  (2), 

pp.  467.  Plates  and  wdcts. 

Nouveau  traite  de  telegraphic  eiectrique. 

Paris,  1865-67.  2 V.  8®.  Wdcts. 


CORNELL  UNIVERSITY. 


71 


Bois,  V.  La  telegraph ie  ^lectrique.  20  ^d. 
Paris,  1855.  160.  ff.  (2),  pp.  127.  Wdcts.  (Bib- 

lioth^que  des  chemins  de  fer.) 

Breguet,  L.  Manuel  de  la  t^l^grapliie  61ec- 
trique.  3®  ^d.  Paris,  1856.  12®.  pp.  107+. 

Plates  and  wdcts, 

Same.  4®  ed.  Paris,  1862.  12®.  pp.  vi., 

252.  Plates  and  wdcts. 

Brooke,  J.  M.  Ocean  telegraph.  [Washing- 
ton, 1857.]  8®.  pp.  4. 

Lettered  “Atlantic  cable.” 

[Brooks,  D.]  The  Brooks’  patent  paraffin  in- 
sulator. Philadelphia,  1870.  8®.  pp.  47.  Wdcts. 

Buerbaum,  J.  Die  elektro-magnetische  Tele- 
graphie,  mit  besonderer  Beriicksichtigung  der  aus- 
gefiihrten  Telegraphen-Systeme.  Berlin,  1851.  8®. 

pp.  xi.,  192.  Plates. 

Du  Moncel,  T.  (A.  L.),  cotnte.  Traite  theorique 
et  pratique  de  telegraphie  electrique.  Paris,  1864. 
8®.  pp.  xxvi.,  613.  Plates  and  wdcts. 

, et Bergon.  Appareils  telegraphiques 

de  MM.  Digney  freres ; rapports  las  a la  Societe 
d’encouragement  pour  I’industrie  nationale.  Paris, 
1859.  8®.  pp.  28.  Plate. 

Extraits  de  rapports  et  lettres  sur  le  syst^me  de 
telegraphie  de  guerre  de  J.  Swaim.  Paris,  1858. 
8®.  pp.  25.  • 

Figuier,  (G. ) L.  [Machines  ^lectriques  a I’ex- 
position  de  1867.]  pp.  155-217.  {Extracted  Jj’om 
his  L’annee  scientifique  et  industrielle,  1867,  Paris, 
1868,  8®.) 

Forsach,  J.  (A.).  Ilandbuch  der  electrischen, 
galvanischen,  magnetischen  und  electromagnetischen 
Telegraphie.  Wien,  1854.  8®.  pp.  vi., 

Plates. 

Katechismus  der  elektrischen  Telegraphie. 

Leipzig,  1852.  16®.  pp.  X.,  58.  Wdcts. 

Gamier,  C.  F.  M^thode  innemonique  pour  re- 
tenir  facilement  les  signes  de  I’ecriture  t^legraphique 
de  Morse.  Neuchatel,  1862.  8®.  pp.  14. 

Gavarret,  J.  Telegraphie  electrique.  Paris, 
1861.  12®.  ff.  (2),  pp.  42S.  Wdcts. 

Gintl,  W.  Der  elektro-chemische  Schreib-Tele- 
graph  auf  die  gleichzeitige  Gegen-Correspondenz  an 
einer  Drathleitungangewendet.  [Wien,  1855.]  8®. 
pp.  18.  Plates. 

“Aus  der  Sitzungsberichte  der  m.-ithcm.-natiirw.  Clas.se  der 
kais.  Akadeniie  der  Wissenschaften  (lid.  xiv.,  s.  400),”  1854. 

Gonon,  E.  Des  teiegraphes  aeriens  et  eiec- 
triques : questions  mises  a la  poriee  de  tout  le  nionde. 
Paris,  1845.  8®.  ff.  (4),  pp.  107.  Plate. 

Great  Britain — Patent  office.  [.Specifications 
and  drawings  of  inventions  relating  to  the  electric 
telegraph.]  London,  1854-57.  1.  8®. 

Gros,  J.  B.  Louis,  baron.  Lettre  sur  la  teie- 

rajihie  eiectritjue.  Paris,  1856.  8®.  pp.  31. 

Hates. 

Guyot,  J.  De  la  telegraphie  de  jour  et  de  nuit. 
Paris,  1840.  8®.  pp.  xv.,  214,  f.  (i).  Plates. 

Horstmann,  W.  H.  [Plan  for  a submarine 
cable.  New  \'ork,  i860.]  4®.  ff.  (2).  JHates. 

Lettered  “ Atlantic  cable.” 

Hoskiaer,  V.  A guide  for  the  electric  testing 
of  telegraph  cables.  2d  ed.  London,  1879.  8®. 

pp.  viii.,  72.  Plates. 

Lardiier,  D.  The  electric  telegraph.  Newed., 
revised  and  re-written  by  K.  B.  Bright.  London, 
1867.  16®.  pp.  xii.,  272.  Wdcts. 

Loring,  A.  E.  A hand-book  of  the  electro-mag- 
netic telegraph.  New  York,  1878.  18®.  pp.  98. 

Wdcts.  (Van  Nostrand’s  science  series,  39.) 


Mi^ge,  B.  Guide  pratique  de  t^ldgraphie  dlec- 
trique.  Paris,  1863.  12®.  ff.  (2),  pp.  148.  Wdcts. 

(Biblioth^que  des  professions  industrielles  et  agri- 
coles, serie  B.,  no.  4.) 

, et  T.  R.  lingerer.  Vade-mecum  pratique 

de  telegraphie  electrique.  Paris,  1855.  *2®.  pp. 

xi.,  68.  Plates  and  7vdcts. 

Monaghan,  R.  E.  The  vox  populi,  or  legisla- 
tive telegraph : a machine  for  accelerating  the  tak- 
ing of  the  yeas  and  nays,  and  other  votes  in  legisla- 
tive assemblies  West  Chester,  Pa.,  1849.  8®- 

pp.  8. 

Morse,  S.  F.  B.  Examination  of  the  telegraph- 
ic apparatus  and  the  processes  in  telegraphy.  Wash- 
ington, 1869.  8®.  pp.  166.  IVdcts.  {In  United 

States — Cojnniissioners  for  the  Paris  exposition, 

1867.) 

[Letter  to  Hon.  A.  L.  Linn,  containing  a 

drawing  of  the  electro-magnetic  telegraph  instru- 
ment, with  explanation  of  its  action.  ] MSS.  [Wash- 
ington], 1843.  4®.  ff.  (2). 

Preece,  W.  H.  Railway  electric  signalling. 
London,  1865.  8®.  pp.  39-}-.  Plate. 

Prescott,  G.  B.  Electricity  and  the  electric 
telegi-aph.  3d  ed.  New  York,  1879.  8®.  pp.  vi., 

(5)-98o.  Wdcts. 

Rogers,  H.  J.  A brief  treatise  on  insulated  tele- 
graphic wires.  New  York,  1861.  8®.  pp.  15. 

Plate. 

Roux,  F.  L.  Etude  sur  la  fabrication  et  la  pose 
des  cables  electriques  sous-marins.  Paris,  1865. 
8®.  ff.  (2),  pp.  52. 

Schellen,  H.  Der  elektromagnetische  Tele- 
graph in  den  einzelnen  Stadien  seiner  Entwicklung 
und  in  seiner  gegenwartigen  Ausbildung  und  An- 
weiulung;  nebst  einer  Einleitung  iiber  die  ojUische 
und  akustische  Telegraphie,  und  einem  Anhange 
Uber  die  elektrischen  Uhren.  Braunschweig,  1850. 
8®.  pp.  xii.,  368.  Plate  and  wdcts. 

Same.  2®  Ausg.  Braunschweig,  1854. 

8®.  pp.  xii.,  259.  JHate  7vdcts. 

Siemens,  W.  Kurze  Darstellung  der  an  den 
preussischen  Telegraphen-Linien  mit  unterirdischen 
Leitungen  bis  jetzt  gemachten  Erfahrungcn.  Ber- 
lin, 1851.  8®.  ]ip.  31. 

Memoire  sur  la  telegraphie  electrique; 

suivi  du  raj)port  fait  a I’Academie  lies  sciences.  Ber 
lin,  1851.  8®.  f.  (i),  ])]).  64. 

Ueber  die  Beforderung  gleichzeitiger  De- 

peschen  (lurch  einen  telegraphischen  Leiter.  [Leip- 
zig, 1856.]  8®.  pp.  (ii5)-«33- 

from  Foggendorff 's  “ Annalcn  der  I’liysik  und  Cheiiiie,” 
ltd.  clxxiv. 

For  the  “ Nachtrag  ” see  same  vol.,  pj).  183-184. 

Ueber  die  elektrostatische  Induction  und 

die  Verzogerung  des  Stroms  in  Flaschendriihten. 
[Leipzig,  1857.]  8®.  pp.  (66)-i22.  Plates. 

From  the  same,  i>d.  clxxviii. 

Ueber  eine  neue  Construction  magneto- 

elektrischer  Maschinen.  [Leipzig,  1857. ] 8®.  pp. 
(27i)-274.  Plate. 

From  tlie  same,  lid.  clxxvii. 

'the  above  five  pamphlets  bd.  in  i v.,  lettered  “Siemens. 
Telegraphen.” 

Smith,  J.  E.  Manual  of  telegraphy  for  begin- 
ners. Poughkeepsie  (N.  Y.),  1865.  8®.  j)p.  48. 

Platt  and  7odcts. 

.Same.  3d  ed.  New  York,  [cop.  1865]. 

Plate  and  7vdcts. 

Vail,  A.  DescriiJtion  of  the  American  electro- 
magnetic telegrapli  between  Washington  and  Balti- 
more.  Washington,  1845.  8®.  pp.  24.  Wdcts. 


72 


JVOJ^/CS  RELA  TING  TO  MA  THEM  A TICS. 


Vail,  A.  Le  telegraphe  electro-magnetique  amd- 
ricain  ; avec  le  rapport  du  congres,  et  la  description 
de  tons  les  telegraphes  connus  ou  sont  mis  en  usage 
I’electricite  et  le  galvanisme ; traduit  par  H.  Vatte- 
mare.  Paris,  1847.  80.  lif.  (2),  pp.  263. 

"Walker,  C.  V.  Nouveau  manuel  complet  de  la 
telegraphie  electrique ; ou,  Traite  de  I’electricite  et 
du  magnetisme  appliques  a la  transmission  des  sig- 
naux ; traduit  par  D.  Magnier ; suivi  d’un  appen- 
dice.  Paris,  i%i.  240.  pp,  197.  Plates. 

Wartmann,  E.  Sur  la  transmission  simultanee 
de  depeches  electriques  entre  deux  stations  jointes 
par  un  seul  fil  de  ligne.  Geneve,  1856.  80.  pp.  7* 

Plate. 

“ Tire  de  la  Bibliotheque  universelle  de  Geneve,  Mars,  1856.” 

Weiss,  J.  J.  Der  Typendruck-Telegrapli  nebst 
vorbereitender  Beschreibung  der  nothigsten  Appa- 
rate  und  Vorrichtungen  zur  elektro-magnetischen 
Telegraphie,  sowie  des  Morse’schen  Schreibtele- 
gi'aphen.  Winterthur,  1854.  8®.  pp.  27.  Plate. 

Whitehouse,  W.  Report  of  a series  of  experi- 
mental observations  on  two  lengths  of  submarine 
electric  cable.  Brighton,  [Eng,],  i860.  80.  pp. 

23.  Plates. 

“Read  before  the  British  association,  Sep.  14,  1855.” 

4>.  History  of  the  Telegraph,  and  Telegraph  Service. 

American  telegraph  company.  Charter  and 
by-laws.  1859.  New  York,  i%9.  16®.  pp.  18. 

Same.  1861.  New  York,  1861.  160. 

pp.  25. 

'1  he  above  two  pamphlets  bd.  in  vol.  lettered  “ Early  Amer. 
telegraph  companies.” 

Atlantic  telegraph  company.  A history  of 
preliminary  experimental  proceedings,  and  a descrip- 
tive account  of  the  present  state  and  prospects  of  the 
[company].  1857.  London,  [1857].  80.  pp.  69-]-. 
Plate  and  chart. 

Signed  “R.  J.  M.” 

Reports  and  opinions  in  reference  to  the 

selection  of  the  best  point  for  laying  the  cable. 
July,  1857.  n.  p.,  [1857].  fo.  pp.  8,  ff.  (2). 

Lettered  “ Electric  telegraph — British  parliament.” 

Belgium — Ministere  des  travatix  publics.  [Les 
r^ponses  faites  par  le  service  des  telegraphes  a la 
circulaire  remise  au  Bureau  telegraphique  de  Brux- 
elles par  la  Confederation  americain  des  telegraphes 
(American  telegraph  convention).]  MSS.  Brux- 
elles, 1854.'  40,  pp.  (20). 

Vinchent’s  “ fitablissemcnt  des  lignes  telegraphiques  en  Bel- 
gique ” and  the  three  following  titles  are  referred  to  in  this  doc- 
ument as  “Annexes  A,  E,  D,  H,”  respectively. 

The  letter  is  addressed  to  “ [T.  P.  ] Shaffner,  Secretaire  de  la 
Confederation  amcricaine  de  telegraphes,  Washington.” 

Administration  des  chemins  de  fer,  postes 

et  telegraphes  : loi,  arrete  et  r^glement  concernant 
I’exploitation  des  telegraphes.  Bruxelles,  1851,  80. 

pp.  30,  ff.  (7). 

Same.  1853.  Bruxelles,  [1853].  8^. 

pp.  22,  ff.  (4).  Tables. 

Arretes  portant  reorganisation  de  I’adminis- 

tration  des  chemins  de  fer,  postes  et  telegraphes. 
Bruxelles,  1852.  80.  ff.  (2),  pp.  36. 

'Ihc  above  three  pamphlets  bd.  in  i vol.  lettered  “T616- 
graphes  en  Belgique.” 

Bonel,  A.  Ilistoire  de  la  telegraphic  : descrip- 
tion des  principaux  appareils  aeriens  et  electriques. 
Paris,  etc.,  1857.  I2«.  pp.  147.  IVdcts. 

Cooke,  W.  F.  The  electric  telegraph  : was  it 
invented  by  I’rofcssor  Wheatstone?  J.ondon,  1866, 
’56.  2 j)t.  8‘*.  Plates. 

I’t.  2 contains  Arbitration  papers  and  drawings.  Lettered 
“Cooke  and  Wheatstone.” 

Costa  de  Serda,  E.  Essai  d’un  reglcment  sur 


le  service  telegraphique  en  campagne.  Paris,  1866. 
80.  ff.  (2),  pp.  96. 

“ Extrait  du  Spectateur  militaire.” 

Craig,  D.  H.  The  convicted  libeller : [letter  tc 
F.  O.  J.  Smith],  n.  p.,  n.  d.  80.  pp.  8. 

Lettered  “ Morse  patent  case,  iv.” 

Curtis,  G.  T.  The  French  cable:  argument  in 
the  matter  of  the  agreement  between  C.  C.  Leigh 
\_et  al.^  and  Baron  E.  d’Erlanger  [<?/^/.].  1868. 

New  York,  1869.  80.  pp.  30. 

Lettered  “ Atlantic  cable.” 

East  India  telegraph  company.  [Articles  of 
incorporation;  with  press  comments.]  New  York, 
1864.  8®.  pp.  17-f-.  Map. 

Electric  and  international  telegraph  com- 
pany. Government  and  telegraphs  : statement  of 
the  case  against  the  government  bill  for  acquiring 
the  telegraphs.  London,  1868.  8®.  ff.  (2),  pp.  qq. 

Lettered  “ Postal  telegraph.” 

Farewell  banquet  to  J.  Bigelow  (The),  given, 
Dec.  19th,  1866,  by  the  American  residents  of  Paris. 
Paris,  1867.  8®.  pp,  50. 

Field,  C.  "W.  Report  to  the  president  and  di- 
rectors of  the  New  York,  Newfoundland  and  Lon- 
don telegraph  company.  March  8th,  1866.  Lon- 
don, 1866.  8®.  pp.  48.  IPdcts. 

Lettered  “Atlantic  cable.” 

Finlaison,  J.  An  account  of  some  remarkable 
applications  of  the  electric  fluid  to  the  useful  arts  by 
Alexander  Bain,  with  a vindication  of  his  claim  to  be 
the  first  inventor  of  the  printing  telegraph  and  of  the 
electro-magnetic  clock.  London,  1843.  8®.  ff.  (2), 
pp.  127.  Plates. 

Fitzgerald,  P.  Valentia  (Ireland)  as  a packet 
station  : report  of  Capt.  J.  Wolfe,  R.  A.,  with  a few 
observations  by  the  Knight  of  Kerry  [P.  Fitzgerald,  ] 
London,  1851.  8®.  pp,  15. 

Lettered  “Atlantic  cable.” 

French,  B,  B.,  et  al.,  vs.  H.  J.  Rogers,  et  al. 

Depositions  of  witnesses  taken  on  behalf  of  the  re- 
spondents. n.  p.,  [1850].  4®.  pp.  494,  f.  (i). 

Wdets. 

Lettered  “ Morse  patent  case,  ii  ” 

Gamier,  P.,  vs.  G.  Marqfoy.  Cylindre  auto 
matique  pour  la  composition  et  la  transmission  des 
signaux  telegraphiques  de  Morse.  Arret  de  la  cour 
imperiale  de  I’aris,  4®  chambre.  Paris,  1858.  8®. 

pp.  15.  Plate. 

Genesee  Valley  telegraph  company.  Arti- 
cles of  association.  New  York,  1847.  8®.  pp.  ii. 

Lettered  “ Early  Amer.  telegraph  companies.” 

Glass  8c  Elliot,  vs.  G.  Bo.swall.  [Civil  ac- 
tion. London,  1861.]  8®,  pp.  187. 

An  action  for  damages  ansing  from  the  malicious  injuring  by 
fche  defendant  of  a submarine  cable  which  the  plaintiffs  were 
laying  down. 

Great  Britain — Admiralty.  Deep  sea  sound- 
ings in  the  North  Atlantic  ocean  between  Ireland 
and  Newfoundland  made  in  H.  M.  S.  Cyclops. 
London,  1858.  8®.  pp.  73.  Chart  plates. 

House  of  commons.  Report  of  [F.  L] 

Scudamore  on  the  reorganization  of  the  telegraph 
system  of  the  United  Kingdom.  London,  1871. 
f®,  ff.  (2),  pp.  96.  Plans  and  diagr. 

Lettered  “ Electric  telegraph — British  parliament.” 

Reports  to  the  Postmaster  general  by  [F. 

I.]  Scudamore  upon  the  proposal  for  transferring  to 
the  post  office  the  control  and  management  of  the 
electric  telegraphs  throughout  the  United  Kingdom. 
[London],  1868.  8®.  pp.  166. 

Lettered  “ Postal  telegraph.” 

Highton,  E.  d'he  electric  telegraph : its  history 
and  jtrogress.  London,  1852.  12®.  pp.  xii.,  179. 

Wdets. 


r 


CORNELL  UNIVERSITY. 


73 


Hubbard,  G.  G.  The  postal  telegraph  the  only 
means  by  which  the  telegraph  can  be  made  the  or- 
dinary method  of  communication.  Boston,  1869. 
80.  pp.  19- 

Lett,- red  “ Postal  telegraph.” 

Kendall,  A.  An  address  to  the  stockholders  of 
the  VVashington  and  New  Orleans  telegraph  com- 
pany. Washington^  1853.  80.  pp.  34. 

Lettered  “ Early  Amer.  telegraph  companies.” 

American  electro-magnetic  telegraph  : a re- 
view of  the  arguments  used  against  the  patents 
granted  to  S.  F.  B.  Morse.  Washington,  1850.  8®. 

pp.  25. 

Lettered  “ Morse  patent  case,  iv.” 

and  others.  British  telegraph  monopoly. 

n.  t.-p.  80.  pp.  24. 

Same.  [Another  ed.]  n.  t.-p.  80.  pp. 


39 


Lettered  “ Atlantic  cable.’ 


Koniglich  sachsischen  Telegraphen-Linien. 

Reglement  fur  die  internationale  telegraphische  Cor- 
respondenz.  Dresden,  [1856].  8®.  pp.  50,  ff. 

(18).  Map. 

Leitch,  J.  M.  Prospectus  showing  the  cost  and 
comparative  revenue  of  a line  of  telegraph,  connect- 
ing New-York  city  wi{h  New-Orleans.  New  York, 
1846.  sm.  80.  pp.  7+ . 

Lettered  “ Early  Amer.  telegraph  companies.” 

Magnetic  telegraph  company.  Articles  of 
association  and  charters  ; with  office  regulations  and 
minutes  of  the  meetings  of  the  stockholders  and  di- 
rectors. New  York,  1847.  8®.  pp.  56. 

[Minutes  of  the]  stated  meeting  of  the  di- 
rectors, Philadelphia,  July  8,  1858.  n.  t.-p.  8^. 

pp.  281-348. 

and  New  England  union  telegraph 

company.  Memorial  to  congress,  n.  p.,  [1858.  ] 
80.  pp.  23. 

The  above  three  pamphlets  bound  in  vol.  lettered  ” Early 
Amer.  telegraph  companies.” 


Moigno,  (F.  N.  M.).  Traits  de  tdl^graphie 
^lectrique,  comprenant  son  histoire,  sa  theorie,  ses 
appareils,  sa  pratique,  son  avenir,  sa  Idgislation  ; 
pr6c6d6  d’un  expose  de  la  telegraphic  en  general  et 
de  la  telegraphic  ancienne  de  jour  et  de  nuit.  2«  ed. 
Paris,  1852.  8®,  and  Atlas  of  plates,  f®. 


Morse,  S.  F.  B.  Application  for  extension  of 
patent.  Argument  of  C.  Mason,  n.  p.,  [i860]. 
8«.  pp.  30. 

Same.  Decision  of  Hon.  P.  F.  Thomas. 

Washington,  i860.  80.  pp.  32. 

The  above  two  pamphlets  bd.  in  vol.  lettered  “ Morse  patent 
case,  iv." 

Lord  Campbell  and  Professor  Morse : state- 
ment of  the  case  01  the  refusal  to  grant  a patent  for 
Morse’s  telegraph  in  Great  Britain  in  1838.  n. 
[1848].  8*^.  pp.  8. 

Lettered  “ Morse  patent  cas«,  iv.” 

M^moire  de  S.  F.  B.  Morse,  inventeur  de 

la  telegraphic  eiectrique,  presente  aux  gouverne- 
ments  europeens.  [Paris,  1857.]  8^.  pp.  10. 

and  A.  Vail,  vs.  F.  O.  J.  Smith.  Con- 
tracts. n.  p.,  n.  d.  8«.  pp.  41. 

Lettered  “ Morse  patent  case,  iv.” 

Two  copies. 

et  aL,  vs.  H.  O’Reilly,  et  al.  Argument 

by  G.  Gifford.  New  York,  1853.  8®.  pp.  94. 

Argument  of  St.  G.  T.  Campbell.  Phila- 
delphia, 1853.  80.  pp.  64. 

[Motion  for  an  injunction.]  Frankfort, 

Ky.,  1848.  8".  f.  (i),  pj).  65. 

The  above  three  pamphlets  lettered  “ Morse  patent  case,  iv.” 

National  telegraphic  union.  'I’o  all  teleg- 


raphers. [Constitution,  etc.,  of  the  Union.  ] [New 
York,  1863.]  160.  pp.  16. 

New  South  Wales — Superintendent  of  electric 
telegraphs.  Report  on  the  progress  and  general 
condition  of  electric  telegraphs  in  New  South  Wales 
for  the  years  1863,  ’64.  Sydney,  N.  S.  W.,  i86<. 
fo.  pp.  12.  Plate. 

Lettered  ” Electric  telegraph — British  parliament.” 

New  York  and  Boston  telegraph  associa- 
tion. Office  regulations  and  tariff  of  charges.  New 
York,  1846.  160.  pp.  10. 

Lettered  “ Early  Amer.  telegraph  companies.” 

Newman,  The  electro-magnetic  tele- 

graph: speech  [in]  Pawtucket,  1852.  Pawtucket, 
R.  I.,  1852.  80.  pp.  12. 

North  American  telegraph  association. 
Proceedings,  1858-9  & i86o;  with  the  articles  of 
union  and  contracts  made  under  it.  Utica,  N.  Y., 
1861.  80.  pp.  109. 

Lettered  “ Early  Amer.  telegraph  companies.” 

Notices  of  the  electro  - magnetic  telegraph, 
n.  t.-p.  80.  pp.  20. 

A reprint  of  articles  from  the  “ Companion  to  the  almanac  for 
1843  ” by  the  Soc.  for  the  diffusion  of  usetul  knowledge,  from 
the  “Proceedings”  of  the  Institution  of  civil  engineers,  1843, 
“ Chambers’  journal,”  1840,  etc. 

O’Reilly,  H.  Materials  for  telegraph  history. 
[Morrisania,  N.  Y.,  1869.]  8^. 

In  the  “ Historical  magazine,”  N.  S.  v.,  no.  3,  4,  5. 

Orton,  W.  Government  telegraphs  : argument 
on  the  bill  to  establish  postal  telegraph  lines.  New 
York,  1870.  80.  pp.  52. 

Lettered  “ Postal  telegraph.” 

Paris — Conference  telcgraphique  internationale. 
Documents  diploinatiques.  Paris,  1865.  fo.  ff.  (4), 
pp.  310. 

Contents: — Convention.  — Reglement  de  service  interna- 
tional. — Procis-verbaux  des  stances  de  la  Conference. 

People’s  telegraph  company  (The).  Report 
of  the  committee  of  the  board  of  directors  to  the 
stockholders.  Louisville,  [Ky. ],  1853.  sm.  8«. 

Lettered  “ Early  Amer.  telegraph  companies.” 

Progress,  Peter,  pseud.  The  electric  telegraph  ; 
coinjirising  a brief  history  of  former  modes  of  tele- 
graphic communication,  etc.  London,  1847.  sin. 
I2«.  ff.  (4),  pp.  84.  Front,  and  wdcts. 

Reid,  J.  D.  The  telegraph  in  America:  its 
founders,  promoters  and  noted  men.  New  York, 
1879.  8**.  pp.  xiii.,  846.  I*ortrs.,  plate  ixwiX  wdcts. 

Report  of  the  dinner  given  by  the  Americans  in 
Paris  to  S.  F.  B.  Morse.  Paris,  1858.  8«.  pp.  70. 

Report  of  the  j^roceedings  at  an  inauguration 
banquet  given  by  Cyrus  W.  Field,  April  15,  1864. 
London,  1864.  80.  pp.  32. 

Russell,  R.  W.  d'he  American  telegraph  com- 
pany : remarks  in  reply  to  A.  S.  Hewitt,  and  others. 
New  York,  i860.  8'>.  j)j).  74. 

Lettered  “ Early  Amer.  telegraph  companies.” 

Sabine,  R.  The  history  and  progress  of  the 
electric  telegraph,  with  descriptions  of  .some  of  the 
apparatus.  3d  ed.  London,  1872.  I2«.  pp.  xiv., 

280.  Plates  and  wdcts.  (Weale’s  rudimentary 
science  series,  1 1.) 

Smith,  F.  O.  J.,  vs.  H.  Downing,  et  al.  Ar- 
guifient  of  B.  R.  Curtis.  Portland,  1850.  8“.  pp.  54. 

Lettered  “ Morse  patent  case,  iv.” 

[Suit  in  equity  for  an  infringement  of  the 

letters  patent  of  S.  F.  B.  Morse.]  New  York,  1850. 
2 v.  4^.  IVdcts. 

Interleaved.  Lettered  “ Morse  patent  case,  i.,  iii.” 

VS.  H.  B.  Ely,  et  al.  On  a certificate  of  di- 
vision in  opinion  between  the  judges  of  the  circuit 
court,  U.  S.,  for  the  district  of  Ohio.  [Suit  brought 
for  violation  of  the  plaintiff’s  right  as  assignee  of  a 


74 


WORKS  RE  LA  TING  TO  MA  THEM  A TICS. 


part  of  each  of  two  patents,  issued  by  the  United 
States  to  S.  F.  B.  Morse.  J n,  p.,  n.  d.  8®.  f.  (i), 
PP-  34- 

Lettered  “ Morse  patent  case,  iv.” 

Smith,  F.  O.  J.,  vs.  Massachusetts.  [Libel.] 
Arguments  of  T.  M.  Hayes  and  F.  O.  J.  Smith  on  a 
motion  for  a new  trial,  exposing  the  conspiracy  of 
D.  H.  Craig.  Portland,  i866.  8®.  pp.  64. 

Lettered  “ IMorse  patent  case,  iv.” 

VS.  S.  F.  B.  Morse,  et  al.  Argument  for 

plaintiff  in  error,  [by]  R.  H.  Iduntley.  New  York, 
1869.  80.  pp.  12. 

Argument  on  the  part  of  defendants  in 

error,  [by  C.  Tracy].  New  York,  [1869.]  80, 

pp.  16. 

Opinion  of  the  circuit  court  on  the  denial 

of  the  defendant’s  motion  for  a new  trial.  New 
York,  [1869.]  80.  pp.  3. 

't  he  above  three  pamphlets  bd.  in  vol.  lettered  “ Morse  pat- 
ent case,  iv.” 

Sutton,  R.,  reporter.  The  arguments  in  favor 
of  the  international  submarine  telegraph  in  the  Sen- 
ate of  the  United  States.  [1856.]  Washington, 
1857.  80.  pp.  16. 

Lettered  “Atlantic  cable.” 

Taylor,  W.  B.  An  historical  sketch  of  [Jo- 
seph] Plenry’s  contribution  to  the  electro-magnetic 
telegraph ; witli  an  account  of  the  origin  and  devel- 
opment of  Prof.  Morse’s  invention.  Washington, 
1879.  80.  pp.  103. 

“ From  the  Smithsonian  report  for  1878.” 

Tefft,  (T.  A. ).  Remarks  at  a dinner  given  by  the 
Americans  in  Paris  to  S.  P'.  B.  Morse.  [Paris],  n.  d. 
80.  pp.  7. 

Trousdale,  L.  The  postal  telegraph  system,  as 
proposed  by  Hon.  E.  B.  Washburne,  examined  in 
its  relations  to  American  institutions,  in  five  letters 
addressed  to  J.  Coleman.  Memphis,  Tenn.,  1869. 
120.  pp.  24. 

Lettered  “ Postal  telegraph.” 

United  States — House  of  representatives  : iZth 
Cong.  [Report  of  the  Committee  on  ways  and 
means  on  the]  magnetic  telegraph  from  Baltimore 
to  New  York.  [W'ashington,  1845.]  PP*  7* 

Lettered  “ Early  Amcr.  telegraph  companies.” 

41  j/  Cong.,  2d  Sess.  Report  of  the  com- 
mittee [on]  a postal  telegraph.  (Rep.  114.)  [Wash- 
ington], 1870.  8®.  pp.  160. 

Report  of  the  special  committee  on  postal 

telegraph.  (Rep.  1 15.)  [Washington,]  1870.  80. 

pp.  19. 

I he  above  two  pamphlets  bd.  in  vol.  lettered  “ Postal  tele- 
graph.” 

Vinchent,  J.  Notice  sur  I’etablissement  des 
lignes  telegraphiques  en  Belgique.  Bruxelles,  1854. 
80.  ff.  (2),  pp.  75. 

“ F.xtrait  des  Annales  des  travaux  publics  de  Belgique. 
'1'.  xiii.” 

Washington  and  New  Orleans  telegraph 
company.  Articles  of  agreement  and  association 
for  formation.  New  York,  1846.  sm.  80.  pp.  16. 

Articles  of  association  ; with  the  minutes 

of  the  meetings  of  stockholders  and  directors,  &c. 
Washington,  1848.  8«.  pj).  31. 

Minutes  of  the  meeting  of  the  stockholders 

at  Washington,  July,  1850.  Macon,  [Ga.],  1850. 
8".  pp.  15. 

'1  he  above  three  pamphlets  bd.  in  vol.  lettered  ” F.ar\y  Amcr. 
telegraph  companies.” 

Western  union  telegraph  company.  An- 
nual report  of  the  jiresiclent  to  the  stockholders. 
1S69.  New  York,  1869.  8‘>.  jip.  48. 

Report  on  the  condition  of  the  lines;  [by] 


C.  T.  Valley.  [New  York,  1868.]  80.  f.  (i), 

pp.  129. 

Lithographed. 

Report  on  the  [history,  policy  and  condi- 
tion of  the]  company;  by  E.  B.  Grant.  New  York, 
1869.  80.  pp.  124,  f.  (i). 

The  above  three  pamphlets  bd.  in  vol.  lettered  ‘^Western 
union  tele'graph  company.” 

The  proposed  union  of  the  telegraph  and 

postal  systems.  Cambridge,  1869.  8®.  pp.  vi., 

128. 

Lettered  “Postal  telegraph.” 

Wheatstone,  Sir  C.  A reply  to  Mr.  Cooke’s 
pamphlet,  “The  electric  telegraph  ; was  it  invented 
by  Professor  Wheatstone?”  London,  1855.  80. 

pp.  74. 

Whitehouse,  E.  O.  W.  Reply  to  the  state- 
ment of  the  directors  of  the  Atlantic  telegraph  com- 
pany, in  the  “Daily  News,”  Sept.  20,  and  “Times,” 
Sept.  22,  1858.  London,  1858.  8®.  pp.  27. 

Lettered  “Atlantic  cable.” 

e.  Force,  Conservation  and  Correlation  of. 

Grove,  "W.  R.  The  correlation  of  physical 
forces;  [with]  A discourse  on  continuity.  5th  ed. 
London,  1867.  80.  pp.  xvii.,  363. 

Stewart,  B.  The  conservation  of  energy;  with 
an  Appendix  treating  of  the  vital  and  mental  appli- 
cations of  the  doctrine.  New  York,  1879.  120. 

pp.  viii.,  f.  (i),  pp.  239.  (International  scientific 
series,  vii. ) 

f.  Friction. 

Jellett,  J.  H.  A treatise  on  the  theory  of  fric- 
tion. Dublin,  1872.  80.  pp.  xv.,  220.  Wdets. 

g.  Heat. 

(See  also  Strength  and  Resistance  of  Materials.') 

Armstrong,  R.  Chimneys  for  furnaces,  fire- 
places, and  steam  boilers.  New  York,  1873.  18®. 

pp.  76.  (Van  Nostrand’s  science  series,  i.) 

Barnaart,  A.  Diss.  inaug.  exhibens  quasdam 
leges  caloris.  Trajecti  ad  Rhenum,  1772.  40.  ff. 

(2),  pp.  92,  ff.  (2). 

Barr,  W.  M.  A practical  treatise  on  the  com- 
bustion of  coal,  including  descriptions  of  various  me- 
chanical devices  for  the  economic  generation  of  heat 
by  the  combustion  of  fuel,  whether  solid,  liquid,  or 
gaseous.  Indianapolis,  Ind.,  1879.  8^.  pp.  viii., 

306,  f.  (I). 

Bi.schof,  G.  Die  Warmelehre  des  Innern  un- 
sers  Erdkorpers ; ein  Inbegriff  aller  mit  der  Warme 
in  Beziehung  stehender  Erscheinungen  in  und  auf 
der  Erde.  Umgearb.  Aufl.  Leipzig,  1837.  8®. 

pp.  xxiv.,  512. 

Box,  T.  A practical  treatise  on  heat  as  applied 
to  the  useful  arts.  3d  ed.  London,  1880.  80. 

pp.  viii.,  300.  Plates  and  tables. 

Colnet  d’Huart,  de.  Nouvelle  tli6.)rie 

mathematique  de  la  chaleur  et  de  I’electricit^.  Lux- 
embourg, 1864-65.  2 V.  bd.  in  I.  80.  Plate. 

Contents  : — i.  Dc  la  relation  entre  la  chaleur  rayonnante,  la 
chaleur  de  conductibilit6  et  I’electricite. — ii.  Throne  mathdma- 
tique  de  la  diathermansie,  de  la  lumiere  et  de  la  chaleur  rayon- 
nante naturelles  et  polarisees.  — Theorie  mathematique  de 
relectricite  statique. 

Flesch,  J.  Ueber  das  Prinzip  der  Warme- Aus- 
strahlung  und  Mittheilung.  Trier,  1847.  40.  f. 

(0.  PP*  32* 

Maxwell,  J.  C.  Theory  of  heat.  2d  ed.  Lon- 
don, 1872.  sm.  80.  pp.  xii.,  312.  Wdets. 

Same.  New  ed.  New  York,  1875.  sm, 

8®.  pp.  xii.,  333.  Wdets. 


CORNELL  UNIVERSITY. 


75 


P4clet,  E.  Trait<5  de  la  chalcur  consiJdr^e  dans 
ses  applications.  3®  6d.  Paris,  1860-61.  3 V.  8®. 

Poisson,  S.  D.  Thdorie  inath^matique  de  la 
chalcur.  Paris,  1835.  4®.  ff.  (3),  pp.  532.  Plate. 

{In  his  Traite  de  physique  mathematique.) 

Thdorie  mathematique  de  la  chaleur ; m^- 

moire  et  notes  formant  un  supplement  h Pouvrage 
public  sous  ce  titre.  Paris,  1837.  4®.  ff.  (2),  pp. 

72.  (In  ///j- Traite  de  physique  mathematique.) 

Simons,  G.  De  dilitatione  liquidorum  per  cal- 
orem.  Trajecti  ad  Rhenum,  [1828].  4®.  ff.  (4), 

pp.  78,  ff.  (3).  Plates. 

Stewart,  B.  An  elementary  treatise  on  heat. 
Oxford,  1866.  sq.  1 6®.  pp.  xx.,  392.  Wdcts. 
(Clarendon  press  series.) 

Suerman,  A.  K.  W.  De  calore  fluidorum  elas- 
ticorum  specifico. — Diss.  inaug.  Trajecti  ad  Rhen- 
um,  1836.  4®.  f.  (i),  pp.  X.,  loi-f-j  (0-  Plates. 

Swart,  W.  S.  De  communicatione  et  propaga- 
tione  caloris  liberi,  turn  in  interioribus  corporum 
solidorum  partibus  turn  in  eorum  superficie.  Am- 
stelodami,  [1831].  4®.  ff.  (3),  pp.  ii.,  iii.,  93+, 

ff.  (3).  Plate. 

Tyndall,  J.  Contributions  to  molecular  physics 
in  the  domain  of  radiant  heat.  London,  1872.  8®. 

pp.  xiv.,  f.  (i),  pp.  446.  Plates  and  7vdcts. 

Contents  : — Absorption  and  radiation  of  heat  by  gases  and 
▼apours,  and  the  physical  connection  of  radiation,  absorption, 
and  conduction.  — Relation  of  radiant  heat  to  aqueous  vapour. 
— The  passage  of  radiant  heat  through  dry  and  humid  air.  — 
Absorption  and  radiation  ol  heat  by  gaseous  and  liquid  matter. 
—Contributions  to  molecular  physics.  — Luminous  and  obscure 
radiation. — Calorescence. — The  influence  of  colour  and  me- 
chanical condition  on  radiant  heat.  — The  action  of  rays  of  high 
refrangibility  upon  gaseous  matter. — Aqueous  vapour,  re- 
sumed. — Recent  researches  on  radiant  heat.  — Radiation 
through  the  earth’s  atmosphere. — A new  series  of  chemical 
reactions  produced  by  light.  — 'I'he  blue  colour  of  the  sky,  po- 
larization of  sky-light,  and  polarization  of  light  by  cloudy  mat- 
ter generally.  — Cometary  theory.  — Formation  and  phenom- 
ena of  clouds. 

“ A series  of  memoirs  published  in  the  ‘ Philosophical  trans- 
actions ’ and  ‘Philosophical  magazine,’  with  additions.” 

Van  Amringe,  W.  F.  The  nature  and  origin 
of  heat  and  the  forces  of  the  universe.  New  York, 
1869.  12®.  pp.  52. 

Wal,  H.  de.  De  expansione  corporum  solid- 
orum ipsi  flammm  action!  exhibitorum. — Spec,  inaug. 
Franequeroe,  1775.  sm.  4®.  pp.  viii.,  70,  ff.  (3). 

I.  Thervtodynamtcs 

(including  the  mechanical  theory  of  heat). 

Clausius,  R.  (J.  E.).  Tlie  mechanical  theory 
of  heat,  with  its  apjdications  to  the  steam-engine 
and  to  the  physical  j)r()perties  of  bodies  ; edited  l)y 
T.  A.  Hirst,  with  an  introduction  by  [J.]  Tyndall. 
London,  1867.  8®.  pp.  xvi.,  376. 

Dupre,  A.  Th^orie  m^canique  de  la  chaleur. 
(I’artie  experimentale  en  commun  avec  P.  Dupre.) 
Paris,  1869.  8®.  pp.  xi.,  484. 

Eddy,  H.  T.  T'hermodynamics.  New  York, 
1879.  18®.  pp.  182.  (Van  Nostraiid’s  science 

series,  45.) 

Gouilly,  A.  'I'hdorie  mecanique  de  la  chaleur. 
Paris,  1877.  8®.  pp.  viii.,  103. 

McCulloch,  R.  S.  Treatise  on  the  mechanical 
theory  of  heat  and  its  applications  to  the  steam-en- 
gine, etc.  New  York,  1876.  8®.  pp.  288. 

Tyndall,  J,  Heat  as  a mode  of  motion.  From 
the  4th  Fngli.sh  ed.  New  York,  1877.  1.  12®.  pp. 

XX.,  532. 

Zeuner,  G.  Grundziige  der  mechanischen 
Warmetheorie ; niit  Anwendungen  auf  die  der 
Wannelehre  angehorigen  d'heile  der  Maschinen- 
Ichre,  insbesondere  auf  die  Theorie  der  calorischen 


Maschinen  und  Dampfmaschinen.  2®  Aufl.  Leip- 
zig, 1866.  8®.  pp.  xvi.,  568,  XXV.,  f.  (i). 

Thdorie  mecanique  de  la  chaleur  avec  ses 

applications  aux  machines.  2®  ed.,  traduit  par  M. 
Arnthal,  A.  Cazin.  Paris,  1869.  8®.  pp.  xi.,  585. 

h.  Optics. 

Becquerel,  (A.)  E.  La  lumi^re,  ses  causes  et 
ses  effets.  Paris,  1867-68.  2 v.  8®.  Plates  and 

wdcts. 

Contents  : — i.  Sources  de  lumiere.  — ii.  Effets  de  la  lumiere. 

Brewster,  D.  A treatise  on  optics.  New  ed. 
London,  1853.  12®.  pp.  xiii.,  526.  IVdets. 

Same;  containing  an  elementary  view  of 

the  application  of  analysis  to  reflexion  and  refraction, 
by  A.  D.  Bache.  Philadelphia,  1854.  12®.  pp. 

323>  95*  Wdcts. 

Emerson,  W.  The  elements  of  optics,  in  four 
books.  London,  1768.  8®.  f.  (i),  pp.  iv.,  244, 
f.  (i).  Plates. 

Contents: — i.  Simple  optics. — 2.  Catoptrics. — 3.  Dioptrics. 
— 4.  Construction  of  optical  instruments. 

Exley,  T.  Physical  optics  ; or.  The  phenomena 
of  optics  explained  according  to  mechanical  science, 
and  on  the  known  principles  of  gravitation.  Lon- 
don, 1834.  8®.  pp.  xix.,  ff.  (2),  pp.  206.  Plate. 

Laugel,  A.  L’optique  et  les  arts.  Paris,  etc., 
1869.  18®.  pp.  xvi.,  152,  f.  (i). 

Lommel,  E.  The  nature  of  light,  with  a gen- 
eral account  of  physical  optics.  New  York,  1876. 
12®.  pp.  xiii.,  356.  Plate  and  zvdcts.  (Interna- 
tional scientific  series,  xviii.) 

Newton,  Sir  Isaac.  Opticks : or,  A treatise 
of  the  reflections,  refractions,  inflections,  and  col- 
ours of  light.  3d  ed.  London,  1721.  8®.  ff.  (4), 

pp.  382.  Plates. 

Optice ; sive,  De  reflexionibus,  refractioni- 

bus,  inflexionibus  & coloribus  lucis  libri  tres ; Lat- 
ine  reddidit  S.  Clarke  ; accedunt  tractatus  duo  ejus- 
dem  authoris  de  sjieciebus  & magnitudine  figurarum 
curvilinearum,  Latine  script!.  Londini,  1706.  4®. 

ff.  (6),  pp.  348,  f.  (I),  .pp.  24,  f.  (i),  pp.  43,  f.  (i). 
Plates. 

Optical  lectures  read  in  the  publick  schools 

of  the  university  of  Cambridge,  1669.  Never  before 
printed;  translated  into  English  out  of  the  original 
Latin.  London,  1728.  8®.  pp.  xi.-{-,  212.  Plates. 

Nugent,  E.  Optics  ; light  and  sight  theoretical- 
ly and  practically  considered,  with  their  application 
to  fine  art  and  industrial  pursuits.  New  ed.,  with  a 
chapter  on  spectrum  analysis.  London,  1870.  sm. 
8®.  pp.  xii.,  268.  Wdcts. 

Parkinson,  S.  A treatise  on  optics.  3d  ed. 
London,  1870.  sm.  8®.  pp,  viii.,  352. 

Potter,  R.  An  elementary  treatise  on  optics : 
pt.  i.,  containing  all  the  requisite  propositions  car- 
ried to  first  approximations,  with  the  construction  of 
optical  instruments.  3d  ed.  l.ondon,  1865.  8®. 

pp.  viii.,  166,  f.  (i). 

Wilde,  E.  Ueber  die  Optik  der  Griechen.  Ber- 
lin, 1832.  4®.  f.  (i),  pp.  33. 

Wituski,  (L.  L.  ?).  Dissertatio  optica.  Posen, 
1862.  4®.  f.  (i),  pp.  8.  Plates. 

I.  Color  and  Vision. 

Camper,  P.  De  visu. — Diss.  [inaug.]  Lug- 
duni  Batavorum,  1746.  4®.  ff.  (3),  ))p.  25.  Plate. 

Dove,  H.  W.  Darstellung  der  Farbenlehre  und 
optische  Studien.  Berlin,  1853.  8®.  pp.  viii.,  292, 

ff.  viii.  Port,  and  plates. 

Le  Conte,  J.  Sight : an  exposition  of  the  prin- 
ciples of  monocular  and  binocular  vision.  New 


76 


WORKS  RELATING  TO  MATHEMATICS. 


York,  i88i.  120.  f.  (i),  pp.  275.  (Interna- 

tional scientific  series,  xxxi. ) 

2.  Diffraction. 

Lommel,  E.  Die  Fraunhofer’schen  Beugungs- 
erscheinungen  in  elementarer  Darstellung.  Dres- 
den, 1868.  80.  f.  (i),  pp.  47.  Plates. 

Rijke,  P.L.  Responsio  ad  quaestionum : “ Prae- 
cipuae  exponantur  Naturae  leges,  quae  in  luminis 
diffractione  observantur,  earumque  nexus  cum  aliis 
optices  phaenomenis.”  [Lugduni  Batavorum,  1833.] 
40.  pp.  55.  Plate. 

3.  Refraction. 

Bermann,  E.  O.  Ueber  die  scheinbare  Verand- 
erung  des  Orts  und  der  Gestalt  durch  einfache 
Brechung.  Stolp,  1863.  40.  f.  (i),  pp.  28.  Plates 
and  table. 

Ueber  die  durch  einfache  Brechung  an  einer 

ebenen  Grenzflache  bewirkte  scheinbare  Aenderung 
des  Orts  und  der  Gestalt.  Theil  ii.  Liegnitz,  1866. 
40.  pp.  23.  Plates. 

Krumme,  W.  Die  Brechung  des  Lichts  an  Ku- 
gelflachen.  Duisburg,  1866.  4P.  f.  (i),  pp.  20. 

Plate. 

4.  Spectrum  Analysis. 

Angstrom,  A.  J.  Recherches  sur  le  spectre 
solaire  : spectre  normal  du  soleil.  Upsal,  1868.  4*’, 

and  Atlas  of  plates,  obi.  fo. 

Kirchhoff,  G.  Untersuchungen  fiber  das  Son- 
nenspectrum  und  die  Spectren  der  chemischen  Ele- 
mente.  Th.  i.,  ii.  Berlin,  1866,  ’63.  2 pt.  40. 

Plates. 

“ Besonderer  Abdruck  aus  den  Abhandlungen  der  Konigl. 
Akademle  der  Wisseiischaften  zu  Berlin,  1861-62.” 

Theil  i.,  3er  Abdruck.  Bd.  together. 

Lockyer,  J.  N.  Studies  in  spectrum  analysis. 
New  York,  1878.  120.  pp.  xii.,  258.  Plates  and 

wdcts.  (International  scientific  series,  xxiii.) 

Schellen,  H.  Die  Spectralanalyse  in  ihrer  An- 
wendung  auf  die  Stoffe  der  Erde  und  die  Natur  der 
Ilimmelsktirper.  2®  Aufl,  Braunschweig,  1871. 
8®.  pp.  xvi,,  619.  Poi’trs.,  plates  Q.m\  wdcts. 

Contents  : — Die  kunstlichen  Quellen  der  hochsten  Warme- 
iind  Lichtgrade.  — Die  einfachen  und  zusaminengesetzten 
Spectra  in  ihrer  Anwendung  auf  die  Stoffe  der  Erde. — Die 
Spectralanalyse  in  ihrer  Anwendung  auf  die  Himmelskorper. 

Spectrum  analysis  in  its  application  to  ter- 
restrial substances  and  the  physical  constitution  of 
the  heavenly  bodies  ; translated  from  the  2d  German 
ed.  by  Jane  and  Caroline  Lassell,  edited  by  W.  Hug- 
gins. London,  1872.  8°.  pp.  xxvi.,  662.  Plates 

and  wdcts. 

5.  Velocity  0/  Light. 

Kuckuck,  A.  Die  Geschwindigkeit  des  Lichtes. 
Berlin,  1867.  4”.  pp.  35. 

Liovering,  J.  On  the  velocity  of  light  and  the 
sun’s  distance.  [New  Haven,]  1863.  8®.  pp.  12. 

“From  the  American  journal  of  science,  &c.,  vol.  xxxvi., 
Sept.  1863.” 

Michelson,  A.  A.  Experimental  determination 
of  the  velocity  of  light,  made  at  the  U.  .S.  naval 
acad.,  Annapolis.  Washington,  1880.  40.  pp. 

109- 145.  (Astron.  papers  Amcr.  Ephemeris,  vol.  i., 
pl-  3-) 

6.  IVave  Theory. 

Airy,  G.  B.  On  the  undulatory  theory  of  optics. 
New  ed.  London,  etc.,  i866.  sm.  8‘>.  pp.  viii., 
159.  J dates. 

Briot,  C.  Essais  sur  la  th^orie  mathdmatique  de 
la  lumiere.  Paris,  1864.  8‘».  ])j).  xxii.,  132. 

Cauchy,  L.  Mdmoire  sur  la  disj)ersion  de  la 
lumidre.  Prague,  1836.  4*'.  pp.  iv.,  236. 

Gian,  P.  Ueber  die  absoluten  Phasenverander- 


ungen  durch  Reflexion.  Inaug. -Diss.  Berlin, 
[1870].  80.  pp.  42.  Plate. 

Honigmann,  J.  Analytische  Betrachtung  der 
Aethervibrationen  im  elementaren  polarisirten  Licht- 
strahle.  Dfisseldorf,  1848.  40.  pp.  i7-{-.  Plate. 

Lessing, . Elementare  Darstellung  der  Ge- 

setze  der  Fortpflanzung  des  Lichtes  in  einem  isotro- 
pen  Mittel.  Prenzlau,  1863.  40.  pp.  24. 

Meibauer,  R.  Demonstratio  complurium  Kum- 
meri  theorematum,  quae  agunt  de  generalibus,  et  in- 
finite tenuibus  luminis  fascibus,  praecipue  in  crystal- 
lis. — Diss.  iqjug.  Berolini,  1861.  40.  pp.  20. 

Theorie  der  geradlinigen  Strahlensysteme 

des  Lichts.  Bromberg,  1864.  40.  f.  (i),  pp.  34. 

Plate. 

Probabilities. 

{^See  also  Insurance.) 

Airy,  G.  B.  On  the  algebraical  and  numerical 
theory  of  errors  of  observations  and  the  combination 
of  observations.  Cambridge,  1861.  8®.  pp.  xvi., 

1 18. 

Bernoulli,  J.  Ars  conjectandi;  opus  posthum- 
um;  accedit  tractatus  de  seriebus  infinitis,  et  epistola 
Gallice  scripta  de  ludo  pilse  reticularis.  Basilese, 
1713.  40.  ff.  (2),  pp.  35-}-,  306.  Plates. 

Chase,  P.  E.  Remarks  on  the  mathematical 
probability  of  accidental  linguistic  resemblances,  and 
on  the  comparative  etymology  of  the  Yoruba  lan- 
guage ; with  a mathematical  note  by  J.  E.  Oliver. 
[Philadelphia,  1869.]  40.  pp.  (25)-72. 

“From  the  Transactions  of  the  Amer.  phllos.  society,  vol. 
xiii.” 

^ Condorcet,  M.  J.  A.  N.  de  C.,  marquis  de. 
Elfimens  du  calcul  des  probabilitfis,  et  son  applica- 
tion aux  jeux  de  hasard,  a la  loterie,  et  aux  jugemens 
des  hommes ; avec  un  Discours  sur  les  avantages  des 
mathematiques  sociales,  et  une  notice  sur  Condorcet. 
Paris,  An.  XHI.  (1805).  sm.  8®.  pp.  (iii.  )-xii., 
210. 

Cournot,  A.  A.  Exposition  de  la  theorie  des 
chances  et  des  probabilites.  Paris,  1843.  8®.  pp. 

viii.,  448.  Plate. 

De  Morgan,  A.  An  essay  on  probabilities  and 
on  their  application  to  life  contingencies  and  insur- 
ance offices.  London,  1838.  12®.  pp.  x viii.,  306,  xl. 

Fries,  J.  F.  Versuch  einer  Kritik  der  Prin- 
cipien  der  Wahrscheinlichkeitsrechnung.  Braun- 
schweig, 1842.  80.  pp.  vi.,  f.  (i),  pp.  236. 

Lacroix,  S.  F.  Traitfi  elementaire  de  calcul  des 
probabilites.  4®  ^d.  Paris,  1864.  8®.  pp.  xi., 

308.  Plate. 

[Laplace,  P.  S.,  mat'quis  de,]  Quatrieme  sup- 

Ifiment  a la  theorie  analytique  du  probabilites. 

Paris,  1825.]  40.  f.  (i),  pp.  28. 

Bd.  with  the  1808  ed.  of  Lagrange’s  “ Equations  num^riques.” 

[Lubbock,  J.  W.,  and  J.  E.  D.  Bethune]. 

On  probability.  London,  1830.  8®.  pp.  64.  (So- 
ciety for  the  diffusion  of  useful  knowledge, 
Library  of  useful  knowledge,  no.  78,  79. ) 

Michaelis,  G.  M^moire  sur  la  probability  du 
jeu  de  rencontre.  Berlin,  1846.  4®.  pp.  31-36.  40. 

Moivre,  A.  de.  The  doctrine  of  chances;  or, 
A method  of  calculating  the  probabilities  of  events 
in  play.  London,  1738.  4®.  ff.  (2),  pp.  xiv.,  256. 

[Montmort,  P.  R.  de.]  Essay  [j/c]  d’analyse 
sur  les  jeux  de  hazard.  2®  yd.  Paris,  1713.  4®. 

pp.  xlii.,  414,  f.  (i).  Plates. 

Quetelet,  (L.)  A.  (J.).  Letters  on  the  theory 
of  probabilities,  as  applied  to  the  moral  and  political 


CORNELL  UNIVERSITY. 


77 


sciences ; translated  by  O.  G.  Downes.  London, 
1849.  80.  pp.  xvi.,  309. 

Qiietelet,  (L.)  A.  (J. ).  Popular  instructions 
on  the  calculation  of  probabilities ; translated  by  R. 
Beamish.  London,  1839.  12®.  pp.  xvi.,  157. 

Plate. 

Ruffini,  P.  Riflessioni  critiche  sopra  il  saggio 
filosofico  intorno  alle  probabilita  del  Sig.  conte  La- 
place. Modena,  1821.  8®.  ff.  (2),  pp.  i83-|-- 

Todhunter,  I.  A history  of  the  mathematical 
theory  of  probability,  from  the  time  of  Pascal  to  that 
of  Laplace.  Cambridge,  etc.^  1865.  80.  pp.  xvi., 

624. 

Venn,  J.  The  logic  of  chance,  an  essay  on  the 
foundations  and  province  of  the  theory  of  probability. 
London,  etc.y  1866.  sm.  8®.  pp.  xxvii.-{-j  370. 

Same.  2d  ed.  London,  1876.  80.  pp. 

xxvii.,  488. 

Whitworth,  W.  A.  Choice  and  chance : two 
chapters  of  arithmetic ; with  an  appendix  containing 
the  algebraical  treatment  of  permutations  and  com- 
binations newly  set  forth.  Cambridge,  1867.  sm. 
80.  pp.  vi.-f-,  160. 

a.  Least  Squares. 

Gauss,  K.  F.  Methode  des  moindres  carres : 
memoires  sur  la  combinaison  des  observations ; trad- 
uits  par  J.  Bertrand.  Paris,  1855.  8®.  ff.  (4), 

pp.  167. 

Gerling,  C.  L.  Die  Ausgleichungs-  Rechnungen 
der  practischen  Geometrie ; oder.  Die  Methode  der 
kleinsten  Quadrate  mit  ihren  Anwendungen  fur  geo- 
datische  Aufgaben.  Hamburg,  etc.,  1843.  8^*. 

xix.-j-,  409.  Plates  and  tables. 

Zech,  J.  Zur  Methode  der  kleinsten  Quadrate. 
Tubingen,  1857.  40.  ff.  (2),  pp.  43. 

Qualities. 

{See  also  Determinants.) 

Brioschi,  F.  La  teorica  dei  covarianti,  e degli 
invarianti  delle  forme  binarie.  Roma,  1862.  4‘». 

f.  (i),  pp.  62. 

“ I'.stratta  dagli  Annali  di  mathematica  pura  ed  applicata, 
tom.  i.-iv.” 

Fiedler,  W.  Die  Elemente  der  neueren  Geo- 
metrie uiui  der  Algebra  der  binaren  Eormen  ; ein 
Beitrag  zur  iCinfuhrung  in  die  Algebra  der  linearen 
'rranslormalionen.  Leipzig,  18O2.  8“.  ]>p.  vi., 

235.  Plates. 

Salmon,  G.  Lessons  introductory  to  the  mod- 
ern higher  algebra.  2d  ed.  Dublin,  1866.  80. 

pp.  XV.,  296. 

Series. 

{See  also  Algebra,  Calculus,  and  Finite  Dif- 
ferences. ) 

Anton,  . Die  arithmetischen  Reihen  hb- 

herer  Ordnungen  uhd  die  figurirten  Zahlen.  Oels, 
185c.  4'*.  pp.  30. 

Barfuss,  F.  W.  Die  Khtwickelungsmethoden 
tier  gemeinen  mathematischen  Analisis.  2«  Ausg. 
Berlin,  1869.  8«.  pp.  xiv.,  229.  {In  his  Lehr- 

buch  der  mathematisclien  Analysis,  Theil.) 

Bjdrling,  E.  G.  Doclrime  serierum  infmitarum 
exereilationes.  Parsi.,ii.  Upsaliae,  1846.  2 pt.  4<\ 

“ ICx  Act  is  rcg.  socict.  scieiit.  Upsal." 

'I'wo  copies. 

Chrzescinski,  . Ueber  hohere  arithmet- 

ische  Reihen,  logarithmische  und  Kreis-Function- 
en.  Rastenburg,  1832.  sm.  4«.  f.  (i),  pp.  17. 

■ Davies,  T.  S.  Thoughts  on  the  demonstration 


of  certain  formulae.  [London,  1825.]  8®.  pp. 

1 15-120. 

“Philosophical  magazine,”  Ixvi.,  no.  328. 

Lettered  “ Mathematical  pamphlets.” 

Drobisch,  M.  W.  Observationes  analyticae. 
Lipsiae,  1831.  2 pt.  in  i.  40.  pp.  21. 

Co7itents  : — i.  Theorematis  polynomiahs  nova  demonstratio 
universalis.  — 2.  De  numerorum  Bernoullianorum  computa- 
tione. 

Eickemeyer,  . Die  algebraischen  und 

transcendenten  Funktionen,  durch  die  Methode  der 
unbestimmten  Coefficienten  dargestellt.  Weilburg, 
1858.  40.  pp.  25. 

Ende,  H.  F.  am.  De  summatione  seriei : 

—  usque  ad  inf.  Vratislaviae, 

<P(o)  >(i)  ^cp{iy 

1853.  80.  ff.  (4),  pp.  40. 

Fischer,  F.  A.  Die  Entwickelung  algebraischer 
transcendenter  Functionen  von  x in  unendliche  Rei- 
hen und  die  kubischen  Gleichungen.  Insterburg, 
1863.  40.  f.  (I),  pp.  25. 

Gercke,  . Elementare  Entwickelung  der 

Summenformel  der  Potenzreihen.  Berlin,  1852. 
40.  f.  (I),  pp.  23. 

Gudermann,  C.  Allgemeiner  Beweis  des  poly- 
nomischen  Lehrsatzes  ohne  die  Voraussetzung  bi- 
nomischen.  Cleve,  1825.  4°.  f.  (i),  pp.  44,  f.  (i). 

Hindenburg,  C.  F.,  editor.  Sammlung  com- 
binatorisch-analytischer  Abhandlungen.  Leipzig, 
1796-1800.  2 V.  80. 

Contents: — i.  Tetens,  J.  N.  Formula  polynomiorum. — 
Kliigel,  Gr.  S.  Bemerkung  iiber  den  polynomischen  Lehrsatz. 

— Kramp,  C.  Polynomial-  und  andere  Aufgaben  combin- 
atorisch-analytisch  bearbeitet. — Pfaff,  J.  F.  Satze  iiber  Po- 

tenzen  und  Produkte  gewisser  Reihen. Bemerkungen 

iiber  Coefficienten  gleichungen. — Hindenburg,  C.  F.  Hdehst- 
wichtiger  Einffuss  der  Combinationslehre  auf  die  Analysis.  — 
ii.  Hindenburg,  0.  F.  Entwickelung  gehrochener  Eunc- 
tionen  in  lokal-  und  combinatorischen  Zeichen. — Trembley, 
J.  Verfahren  das  allgemeine  Cilied  der  wiederkehrendeii 
Reihen  zu  finden. — Hindenburg,  C.  F.  Vergleichung  ver- 
schiedener,  combinatorischer  und  anderer  Verfahren.  — Kliigel, 
Gr.  S.  Erkiuterungeu  seines  Beweises  des  polynomischen  l.ehr- 
satzes. — Pfaff,  J.  F.  Localformeln  fiir  hohere  DifTerentiale. 

Autldsung  einiger  verwickeltem  Coeflicientengleich- 

ungen. Ober  Lagrange’s  neuen  Beweis  seiner  Rever- 

sionsformel.  — Hauber,  K.  F.  Autldsung  des  Elevations- 

problems  fiir  Cleichungen. Von  Wegsehaffimg  der  Ir- 

rationaht.'iten  aus  Cleichungen.  — Rothe,  H.  A.  t)ber  Per- 
mutationen  und  Hire  Anwendnung  auf  das  Eliminationsprob- 

lem. Lokalausdriicke  von  Potenzen  besonders  inerk- 

wiirdiger  Reihen.  — Kramp,  C.  Verschiedene  combinatorisch- 

analyllsch  bearbeitete  Aulgaben. (Jber  die  Suinmen 

der  Potenzen  der  natiirlichen  Zahlenreihe,  vermittelst  der  Com- 
binationcnlehre. 

Jacobi,  A.  Kurze  Bemerkungen  iiber  cinige 
I’uncte  der  Analysis.  Naumburg,  1848.  4‘^.  f.  (i), 
1>P-  47;  . . 

'1  renting  of  negatives,  imaginaries,  senes  and  differential 
equations. 

Jurgensen,  C.  De  certo  (|uo(lam  serierum  sum- 
mabilium  genere.  llauniae,  [1832].  40.  f.  (i), 

pp.  23,  f.  (1). 

Landen,  J.  Observations  on  converging  scries, 
occasioned  by  Mr.  Clarke’s  translation  of  Mr. 
Lorgna’s  treatise  on  the  same  subject.  London, 
1781.  40.  f.  (1),  pp.  28,  f.  (i),  pp.  27,  32. 

Lorgiia,  A.  M.  De  casu  irreductibili  tertii  gra 
dus  et  seriebus  infinitis  exercitatio  analytica.  Veto 
nte,  1776.  40.  pp.  1 16. 

Specimen  de  serie1)us  convergentibus.  Ve- 
rona.*, 1775.  4**.  pp.  viii.,  no. 

A dissertation  on  the  summation  of  infinite 

converging  series  willi  algebraic  divisors ; translated, 
with  notes  and  an  appendix,  by  11.  Clarke.  Lon- 
don, 1779.  4'*.  pp.  xiv.,  *221-}-.  Plates. 

Supplement  to  [his]  Summation  of  series, 

[and]  Remarks  on  Mr.  Landen’s  observations  011 


78 


WORKS  RELA  TING  TO  MA  THEM  A TICS. 


the  same  subject;  by  H.  Clarke.  London,  1782. 
40.  pp.  iv.,  56,  f.  (i). 

Bd.  with  the  preceding. 

Lotze,  H.  De  summis  continuorum.  Lipsiae, 
1840.  40.  f.  (i),  pp.  21. 

Maynz,  A.  Ueber  die  Entwickelungscoefficien- 
ten  eines  gewissen  unendlichen  Products.  Freien- 
walde  a.  O.,  1867.  40.  pp.  22. 

Muller,  F.  H.  Problemata  quaedam  analytica 
ad  summationem  serierum  pertinentia.  Torgovae, 
[1833].  40.  pp.  22. 

Putiatycki, . Der  polynomische  Lehrsatz 

fiir  beliebigen  Exponenten.  Lissa,  [1845].  4®.  f. 

(i),  pp.  xxiii.,  f.  (i). 

Scheibert,  . Herleitung  der  Allgemein- 

giihigkeit  der  Binomialformel,  sowie  der  logarith- 
misclien  Fundamentalreihe  dut  ch  die  Hauptsatze  aus 
der  Methode  der  unbestiininten  Koeffizienten.  El- 
bing,  1862.  40.  pp.  20. 

Schlbmilch,  O.  Die  Reihener.twickclungen  der 
Differential- und  Integrairechnung.  Dresden,  1851. 
40.  f.  (i),  pp.  39.  Plate. 

Schmidt,  J.  P.  Von  der  Convergenz  und  Di- 
vergenz  der  unendlichen  Reihen.  Koln,  1867.  4P. 

f.  (i),  pp.  21. 

Schniirlein,  L.  C.  Erweiterung  und  Verallge- 
meinerung  der  bisher  zwischen  den  trigonomet- 
rischen  und  anderen  Functionen  und  zwischen  den 
Koefficienten  der  niedrigsten  Glieder  in  den  Sum- 
men  der  Potenzen  ganzer  Zahlen  bekannt  gewesenen 
Relationen.  Hof,  [1833].  40.  pp.  16. 

Schwarz,  A.  Die  Lehre  von  den  einfachen 
Reihen.  Siegen,  1863.  40.  pp.  17. 

Taylor,  T.  The  elements  of  a new  arithmetical 
notation  and  of  a new  arithmetic  of  infinities,  with 
appendix.  London,  1823.  8®.  pp.  vii.+,  15 1. 

Theory  of  Numbers 

(including  Indeterminate  and  Diophanthie  Analysis). 

(See  also  Algebra.) 

Arendt,  G.  Elements  de  la  thdorie  des  nombres 
complexes  de  la  forme  a-\-  b^/  — i,  d’a]:>r6s  un  corns 
de  M.  Dirichlet.  Berlin,  [1863].  40.  f.  (i),  pp. 

43- 

Barlow,  P.  Demonstration  of  a curious  numer- 
ical proposition : [The  equation  is  al- 

ways impossible,  either  in  integers  or  fractions,  for 
every  value  of  n greater  than  2.]  [London],  1810. 
80.  pp.  13. 

From  Nicholson’s  “Journal  of  natural  philosophy,  chemistry 
and  the  arts,”  xxvii.,  Nov.  1810.  Lettered  “Mathematical 
pamphlets.” 

An  elementary  investigation  of  the  theory 

of  numbers,  with  its  application  to  the  indeterminate 
and  diophanline  analysis,  the  analytical  and  geomet- 
rical division  of  the  circle,  and  several  other  prob- 
lems. London,  1811.  8^.  pp.  xxiv.,  f.  (i),  pp. 

507. 

Bertram,  F.  H.  T.  Einige  Siitze  aus  der  Zah- 
lenlehre.  Berlin,  1849.  4*’-  (0>  PP-  ^7- 

Boncompagni,  B.  Intorno  alia  risoluzione 
delle  equazioni  simultanee  — ^ = 

Roma,  1855.  80.  f.  (i),  pp.  22. 

“ Estratu  dagli  Annali  di  scienze  malematiche  e fislche, 
Aprilc,  1855." 

Cantor,  G.  De  aequationibus  secundi  gradus 
indeterminatis. — Diss.  inaug.  Berolini,  [1867].  4”. 
f.  (I),  pp.  25-f-. 

De  transformatione  formarum  ternariarum 

quadraticarum.  Ilalis  Saxbnum,  [ 1869].  4”.  f.  (i), 
pp.  12,  f.  (i). 


Diophantus  Alexandrmus.  Arithmeticorvm 
libri  sex,  et  de  nvmeris  mvltangvlis  liber  vnvs ; cvm 
commentariis  C.  G.  Bacheti  & obseruationibus  D. 
P.  de  Fermat ; accessit  Doctrinte  analyticse  inuentum 
nouum,  collectum  ex  varijs  eiusdem  D.  de  Fermat 
epistolis.  Tolosae,  1670.  fo,  ff.  (7),  pp.  64,  341, 
48. 

Greek  text,  with  Latin  translation  and  notes. 

Emsmann,  A.  G.  liber  eine  Aufgabe  aus  der 
Zahlentheorie.  Frankfurt  a.  O.,  1850.  40.  f.  (i), 

PP-  36. 

Erler, . De  periodis,  qum  compositione  for- 

marum quadraticarum  ejusdem  determinantis  hunt. 
Ziillichau,  1847.  40.  f.  (i),  pp.  16. 

Eine  zahlentheoretische  Abhandlung.  Ziil- 

lichau,  1847.  40.  f.  (i),  pp,  19. 

Fiille,  . Zur  Zahlen-Theorie.  Ratibor, 

1867.  40.  f.  (i),  pp.  20. 

Gauss,  C.  F.  Theorematis  fundamentalis  in 
doctrina  de  residuis  quadraticis  demonstrationes  et 
ampliationes  novae.  Gottingae,  1818.  40.  pp,  20. 

Genochi,  A.  Intorno  ad  alcune  somme  di  cubi 
nota.  Roma,  1866.  40.  pp.  10. 

“ Estratta  dagli  Atti  dell’  Accademia  pontificia  de  nuovi  lincei 
(tomo  xix.,  anno  xix.,  sessione  ii.,  del  7 Gennaio  1866).” 

Gill,  C.  Application  of  the  angular  analysis  to 
the  solution  of  indeterminate  problems  of  the  second 
degree.  New  York,  A.,  1848.  120.  pp.  90,  f.  (i). 

Gorgas,  R.  Ueber  Losung  diophantischer 
Gleichungen  zweiten  Grades  in  ganzen  Zahlen. 
Magdeburg,  1867.  40.  f.  (i),  pp.  32. 

Getting,  . Untersuchungen  fiber  die  bi- 

quadratischen  Reste  und  Nichtreste  der  Primzahlen 
von  der  Form  4/2 -j-i.  Halle,  1861.  40-  f.  (i), 

PP-  23- 

Kummer,  E.  E.  De  residuis  cubicis  disquisi- 
tiones  nonnullae  analyticae.  Vratislaviae,  [1842]. 
40.  f.  (I),  pp.  18,  f.  (I). 

Lejeune-Dirichlet,  P.  G.  Vorlesungen  fiber 
Zahlentheorie ; herausgegeben  und  mit  zusatzen 
versehen  von  R.  Dedekind.  2®  Aufl.  i.  Braun- 
schweig, 1871.  80.  pp.  288. 

Meyer,  C.  F.  Ein  diophantisches  Problem. 

Potsdam,  1867.  40.  f.  (i),  pp,  14. 

Poinsot,  L.  Reflexions  sur  les  principes  fonda- 
mentaux  de  la  theorie  des  nombres.  Paris,  1845. 
40.  ff.  (2),  pp.  lOI. 

From  the  “Journal  de  mathematiques  pures  et  appliquees,” 
tome  X.,  Jan.  1845. 

Poselger,  P.  J.  Ueber  einige  merkwfirdige 
Eigenschaften  periodischer  Divisionsreihen.  Berlin, 
1830.  40.  f.  (i),  pp.  16. 

Schonemann,  (T. ).  Grundzfige  einer  allge- 
meinen  Theorie  der  hohern  Congruenzen,  deren 
Modul  eine  reelle  Primzahl  ist.  Brandenburg,  1844. 
40.  f.  (i),  pp.  50. 

Schwarz,  H.  Elemente  der  Zahlen-Theorie. 
Halle,  1855.  8».  pp.  vi.,  467. 

Tenner,  G.  W.  Einige  Bemerkungen  fiber  die 

Gleichung  <7x2^  IZZZ9/2,  Merseburg,  [1841].  40. 

pp.  12. 

Weirauch,  K.  Untersuchungen  fiber  eine 
Gleichung  des  ersten  Grades  mit  mehreren  Unbe- 
kannten.  Dorpat,  1869.  40.  pp,  43+,  f.  (i). 

Trigonometry. 

(See  also  Crystallography,  Logarithms,  and 
Triangles. ) 

Bourdon,  P.  L.  M.  Trigonomdtrie  rectiligne 
et  sphdrique.  Paris,  1854.  8®.  pp.  159. 


CORNELL  UNIVERSLTY. 


79 


Bourdon,  P.  L.  M.  Same.  Nouv.  dd.,  revue 
par  C.  Brisse.  Paris,  1877.  S®.  ff.  (2),  pp.  127. 

Briot,  C.,  et  C.  Bouquet.  Lemons  nouvelles 
de  trigonometrie.  3®^d.  Paris,  1858.  8®.  ff.  (2), 

pp.  224. 

Cagnoli,  A.  Trigonometria  piana  e sferica. 
Ed.  2»'.  Bologna,  1804.  4®.  pp.  xx.,  533.  Plates 

and  tables. 

Trigonometrie  rectiligne  et  sph^rique ; tra- 

duite  par  N.  M.  Chompre.  2®  ed.  Paris,  1808. 
4®.  f.  (i),  pp.  xvi.,  508,  ff.  (2).  Plates  and  tables. 

Caswell,  J.  A brief  (but  full)  account  of  the 
doctrine  of  trigonometry,  both  plain  and  spherical. 
London,  1685.  f®.  f.  (i),  pp.  17. 

Bd.  with  Wallis’s  “Algebra.” 

Cavalieri,  B.  Trigonometria  plana,  et  sphaerica, 
linearis,  & logarithmica ; hoc  est  tarn  per  sinuum, 
tangentium  & secantium  multiplicationem  ac  diuis- 
ionem  iuxta  veteres,  quam  per  logarithmorum  sim- 
plicem  fere  additionem  iuxta  recentiores.  Bononige, 
1643.  4®.  pp.  16,  71,  ff.  (52).  Frontisp.  & plate. 

Chauvenet,  W.  A treatise  on  plane  and  spher- 
ical trigonometry.  7th  ed.  Philadelphia,  1869.  8®. 

pp.  256.  ^ ^ 

Chrzescinski, . Auflosungen  einiger  trig- 

onometrischen  Aufgaben.  Lyck,  1849.  4®.  pp.  19. 

Copernicus  {Polish  Koppernigk),  N.  Die 
Trigonometrie;  iibersetzt  von  Menzzer.  Halber- 
stadt,  [1857].  4®.  f.  (i),  pp.  21.  Plate. 

De  Morgan,  A.  Trigonometry  and  double  alge- 
bra. London,  1849.  12®.  pp.  xi.,  167.  Plate. 

Bmerson,  W.  The  elements  of  trigonometry, 
containing  the  properties,  relations,  and  calculations 
of  sines,  tangents,  secants,  &c.,  the  doctrine  of  the 
sphere,  and  the  principles  of  plain  and  spherical  trig- 
onometry. 2d  ed.,  with  tables.  London,  1764.  8®. 

pp.  viii.,  240,  ff.  (141).  I^lates. 

Greenleaf,  B.  Elements  of  plane  and  spherical 
trigonometry;  with  practical  applications.  Improved 
electrotype  ed,  Boston,  1867.  12®.  ff.  (2),  pp. 

108,  62. 

Gutzlaff,  K.  Ueber  das  Auflosen  trigonom- 
etrischer  Aufgaben.  Marienwerder,  1866.  4®.  f. 

(i),  pp.  19.  Plate. 

Hassler,  F.  R.  Elements  of  analytic  trigonom- 
etry, plane  and  spherical.  New  York,  1826.  12®. 

pp.  192.  Plate. 

Another  copy  bd.  with  his  “Geometry.” 

Heydenreich,  F.  F.  Transformationen  der 
Formeln  aus  der  ebenen  und  spharischen  Trigonom- 
etrie. Tilsit,  1826.  4®.  f.  (i),  pp.  13. 

Hopkins,  W.  Elements  of  trigonometry.  Lon- 
don, 1833.  8®.  pp.  68.  (/«  Society  for  the  dif- 

fusion of  useful  knowledge.  Library  of  useful 
knowledge. ) 

“ Mathematics,  vol.  ii.” 

Hymers,  J.  A treatise  on  plane  and  spherical 
trigonometry,  and  on  trigonometrical  tables  and  log- 
arithms, with  a selection  of  problems  and  their  solu- 
tions. 3d  ed.  Cambridge,  1847.  8®.  pp.  viii.,  216. 
Plates. 

Kayer,  E.  Ein  Beitrag  zur  Trigonometrie.  Er- 
furt, 1863.  4®.  ff.  (2),  pp.  21. 

Kribben,  J.  J.  Versuch  einer  neuen  Begriind- 
ung  des  Positiven  und  Negativen  in  der  Trigonom- 
etrie. Elberfeld,  1832.  4®.  f.  (i),  pp.  15.  Plate. 

Lacroix,  S.  F.  Traits  ^kmentaire  de  trigono- 
metrie rectiligne  et  sph^rique,  et  d’application  de 
I’alg^bre  k la  g6om^trie.  8®  6d.  Pans,  1827.  8®. 

pp,  xii.,  31 1.  Plates. 

Same.  ii®^d.  Paris,  1863.  8®.  pp.  xvi., 

299.  Plates. 


Lardner,  D.  An  analytical  treatise  on  plane  and 
spherical  trigonometry,  and  the  analysis  of  angular 
sections.  London,  1826.  8®.  pp.  xxviii.,  313. 

Plates. 

Le  Cointe,  I.  L.  A.  Lemons  sur  la  th^orie  des 
fonctions  circulaires  ei  la  trigonometric.  Paris,  1858. 
8®.  pp.  xii.,  387. 

Lefebure  de  Fourcy,  L.  E.  (L.).  El^mens 
de  trigonometrie ; contenant  la  trigonometric  recti- 
ligne, la  trigonometric  spherique,  et  quelques  appli- 
cations a Palgebre.  2®  ed.  Paris,  1831.  8®.  ff. 

(2),  pp.  119+.  Plate. 

Elements  of  trigonometry,  plane  and  spher- 
ical; translated  from  the  last  French  ed.  by  F.  II. 
Smith;  with  tables.  Baltimore,  1870.  8®.  pp.  vi., 

138,  xvi.,  150. 

Loomis,  E.  Elements  of  plane  and  spherical 
trigonometry,  with  their  applications  to  mensura- 
tion, surveying  and  navigation.  14th  ed.  New 
York,  1859.  8®.  pp.  193. 

Satne.  25th  ed.  New  York,  1867.  8®. 

pp.  193. 

Contains  “Tables  of  logarithms,  and  of  sines  and  tangents” 
bd.  at  end. 

Oliver,  J.  E.,  L.  A.  Wait  and  G.  W.  Jones. 

A treatise  on  trigonometry.  Ithaca,  [N.  Y.],  1881. 
8®.  pp.  vi.,  f.  (i),  pp.  102. 

Olney,  E.  Elements  of  trigonometry,  plane  and 
spherical.  New  York,  1872.  8®.  f.  (i),  pp.  113, 

Oughtred,  W^.  Trigonometria,  hoc  est  modus 
computandi  triangolorum  latera  & angulos,  ex  can- 
one  mathematico  traditus  & demonstratus;  una  cum 
tabulis  sinuum,  tangent.  secant,  &c.  Londini, 
1657.  4®.  ff.  (7),  pp.  36,  234,  ff.  (5). 

[Peacock,  G.  ] ‘ A syllabus  of  a course  of  lect- 
ures upon  trigonometry  and  the  application  of  alge- 
bra to  geometry.  2d  ed.  Cambridge,  etc.,  1836. 
8®.  ff.  (3),  pp.  120. 

Peirce,  B.  An  elementary  treatise  on  plane  & 
spherical  trigonometry,  with  their  apjdications  to 
navigation,  surveying,  heights  and  distances,  and 
spherical  astronomy.  3d  ed.  Boston,  1845.  8®. 

pp.  iv.,  f.  (i),  pp.  449.  Plates. 

This  copy  lacks  pp.  i-io. 

Same.  Revised  ed.  Boston,  etc.,  1861. 

1.  8®.  pp.  vi.,  f.  (i),  pp.  359.  Plates. 

Serret,  J.  A.  Traitd  de  trigonometric.  4®  dd. 
Paris,  1 808.  8®.  p[).  xi.,  336. 

Simpson,  T.  d'rigonometry,  plane  and  spher- 
ical ; with  the  constructitm  and  apidication  of  log- 
arithms ; with  an  appendix  on  spherical  projections. 
Philadelphia,  1810.  8®.  pp.  125.  Plates. 

Snowball,  J.  C.  The  elements  of  plane  and 
spherical  trigonometry ; with  the  construction  and 
use  of  taldes  of  logarithms  both  of  numbers  and  for 
angles,  loth  ed.  Cambridge,  etc.,  1863.  8®.  pp. 

x.,  240. 

Sperling,  J.  Analytische  Miscellen.  Gumbin- 
nen,  1863.  4®.  f.  (i),  pj).  15. 

'I'reatmg  of  trigonometry,  compound  interest,  Diophantine 
analysis,  and  cubic  equations. 

Stade,  . I.  Kinige  trigonometrischc  Ele- 

mentaraufgaben  fiir  Schiller.  Zeitz,  1862.  4®. 

pp.  10. 

Todhunter,  I.  Trigonometry  for  beginners; 
with  examples.  London,  <r/r.,  1866.  12®.  pp.  viii., 

192. 

Wilson,  R.  A system  of  plane  and  spherical 
trigonometry;  to  which  is  added  a treatise  on  log- 
arithms. Cambridge,  1831.  8®.  pp.  xv.,  330,  f.  (i). 

Young,  J.  R.  Elements  of  plane  and  spherical 


8o 


IVORA'S  A EL  A TING  TO  MA  THEM  A TICS. 


trigonometry ; with  their  applications  to  the  princi- 
ples of  navigation  and  nautical  astronomy.  2d  ed. 
London,  1841.  120.  pp.  xii.,  250. 

a.  Goniometry. 

Bredow,  F.  (C.  F.).  De  potestatibus  sinuum 
et  cosinuum,  quae  secundum  sinus  aut  cosinus  mul- 
tiplicium  arcuum  procedunt,  explicate.  Olsnae, 
1829.  40.  ff.  (2),  pp.  40. 

Briukmann,  . Beitrage  zur  analytischen 

Trigonometric.  Halle,  1859.  40.  f.  (i),  pp.  22. 

Fdrstemann,  W.  A.  Inquisitio  in  plurimorum 
angulorum  functiones  goniometricas.  Halae,  1820. 
40.  f.  (I),  pp.  25-f. 

Grebe,  E.  W.  Ein  Schema  zur  Erleichterung 
des  Elementarunterrifthtes  in  der  Trigonometric. 
Cassel,  1840.  40.  pp.  8. 

Koppe,  C.  F.  A.  De  theoremate  trigonomet- 
rico  sin  (A-j-B)  = sin  A.  cos  B-f-cos  A.  sin  B cos 
(A-f-B)  = cos  A.  cos  B — sin  A.  sin  B.  Mariaein- 
sulae,  [1828].  40.  pp.  16. 

Roehr,  . Zur  Winkeltheilung.  Oppeln, 

1863.  40.  f.  (i),  pp.  20.  Plates. 

Wichmann,  R.  Ueber  Kreistheilungen.  Ber- 
lin, etc.,  1867.  40.  pp.  24. 

Witte, . Goniometrische  Aufgaben.  Merse- 
burg, [1861].  40.  f.  (i),  pp.  24. 

b.  Plane  Trigono77ietry. 

Careme,  A.  Cours  de  trigonometric  rectiligne, 
avec  de  nombreux  exercices  et  4es  applications  au 
lever  des  plans.  2^  ed.  Paris,  1869.  8®.  ff.  (2), 

pp.  97,  f.  (I). 

Coleuso,  J.  W.,  Bp.  Plane  trigonometry,  with 
the  use  of  logarithms.  Pt.  i.  New  ed.  London, 
1871.  I2f>.  pp.  iv.,  146. 

[Solutions  of  examples  in]  Plane  trigo- 
nometry. New  ed.  London,  1861.  2 pt.  120. 

Day,  J.  A treatise  of  plane  trigonometry;  to 
which  is  prefixed  a summary  view  of  the  nature  and 
use  of  logarithms.  New  Ilaven,  etc.,  1829.  80. 

ff.  (2),  pp.  155.  Plates.  {Ifi  his  Course  of  mathe- 
matics.) 

Safne.  New  York,  1848.  120.  pp.  153. 

{In  Day  and  Thomson’s  series.) 

Same.  New  Ilaven,  1851.  80.  pp.  155. 

Plates.  {In  his  Course  of  mathematics.) 

Grebe,  E.  W.  Ueber  die  Proportionalitat  von 
Stiffen  des  geradlinigen  Drciecks  mit  den  trigo- 
nometrischen  .Eunctionen  der  ganzen,  halbeu  und 
doppelten  Winkel  desselben.  Cassel,  1856.  40. 

f.  (i),  pp.  10.  Plate. 

Haun,  J.  The  elements  of  plane  trigonometry. 
2d  ed.  London,  1854.  12®.  ff.  (2),  pp.  119. 

Snowball,  J.  C.  The  elements  of  plane  trigo- 
nometry, with  the  construction  and  use  of  loga- 
rithmic tables  of  numbers,  and  those  of  trigonomet- 
ric functions  of  angles.  2d  ed.  Cambridge,  etc., 
1834.  8®.  pp.  viii.,  177. 

Todhunter,  I.  Plane  trigonometry  for  the  use 
of  colleges  and  schools ; with  examples.  Cam- 
bridge, etc.,  1864.  8®.  ff.  (4),  pp.  279. 

Wiegand,  A.  Lehrbuch  der  ebcnen  Trigonom- 
etric. 5®  Aufl.  Halle,  1870.  8®.  pp.  viii.,  95. 

Winkler,  E.  O.  Kurzer  Abriss  der  el>cnen 
Trigonometric.  Dresden,  1864.  8®.  pp.  iv.,  54. 


c.  Spherical  Trigonometry. 

Brettner,  W.  Zur  Theorie  des  spharischen 
rechtwinkligen  Dreiecks.  [Leobschiitz],  1831.  4®. 

pp.  41. 

Byrne,  O.  A short  practical  treatise  on  spher- 
ical trigonometry.  London,  1835.  8®.  pp.  xi.,37. 

De  Morgan,  A.  Elements  of  spherical  trigo- 
nometry. [London,  1835.]  8®.  pp.  32.  (/« So- 

ciety for  the  diffusion  of  useful  knowledge. 
Library  of  useful  knowledge. ) 

Grebe,  E.  W.  Kurzer  Abriss  der  spharischen 
Trigonometric.  Cassel,  1858.  4®.  f.  (i),  pp.  20. 

Plate. 

Grunert,  J.  A.  Spharoidische  Trigonometric. 
Berlin,  1833.  4®.  pp.  iv.,  311-!-.  Plate. 

Hann,  J.  The  elements  of  spherical  trigonom- 
etry. London,  1849.  12®.  ff.  (2),  pp.  68. 

Bd.  with  his  “ Plane  trigonometry.” 

Hofmann,  F.  Spharische  Trigonometric  mit 
Anwendungen  auf  Astronomic.  Bayreuth,  1854. 
4®.  pp.  18.  Plate. 

Nauck,  F.  Uber  die  harmonischen  Proportion- 
en  auf  der  Oberflache  der  Kugel.  Schleusingen, 
1847.  4°*  PP*  20.  Plate. 

Renvers, . Einige  Eigenschaften  des  sphar- 

ischen Dreiecks  und  die  wichtigsten  Lehrsatze  der 
spharischen  Trigonometric.  Aachen,  [1865].  4®. 

f.  (i),  pp.  18.  Plate. 

Snowball,  J.  C.  The  elements  of  spherical 
trigonometry.  Cambridge,  1834.  8®.  pp.  v.-|-, 

65.  Plate. 

Bd.  with  his  “ Plane  trigonometry.”  The  two  vols.  have  a 
collective  title-page. 

Todhunter,  I.  Spherical  trigonometry;  with 
examples.  2d  ed.  Cambridge,  etc.,  1863.  8®. 

pp.  132. 

Wahl,  F.  W.  L.  Gerlingianae  in  demonstran- 
dis  quibusdam  sphaericae  trigonometriae  theorematis 
methodi  censura.  lenae,  1825.  4®.  pp.  16.  Plate. 

This  copy  is  accompanied  by  autograph  letters  of  Wahl  and 
Gerlmg. 

Weights  and  Measures 

(me hiding  Money). 

Alexander,  J.  H.  Universal  dictionary  of 
weights  and  measures,  ancient  and  modern;  reduced 
to  the  standards  of  the  United  States  of  America. 
Baltimore,  1850.  8®.  pp.  viii.,  158. 

Dove,  H.  W.  Ueber  Maass  und  Messen.  Ber- 
lin, 1833.  4®.  f.  (i),  pp.  40. 

' Emsmann,  (A. ) H.  Ueber  das  Messen  und  die 
Masse.  Stettin,  1863.  4®.  pp.  24. 

Lanzac,  A.  Entwurf  zu  einem  reinen  Decimal- 
Systeme  fiir  Teutschland  (Teutonia).  [Leipzig], 
1847.  4®.  ff.  (2),  pp.  iv.,  35. 

Woolhouse,  W.  S.  B.  Measures,  weights, 
and  monies  of  all  nations,  and  an  analysis  of  the 
Christian,  Hebrew,  and  Mahometan  calendars.  6th 
ed.  London,  1881.  12®.  f.  (i),  pp.  vi.,  f.  (i), 

pp.  206.  (Weale’s  rudimentary  series,  221.) 

Wright,  J.  The  American  negotiator ; or.  The 
various  currencies  of  the  British  colonies  in  America 
reduced  into  English  money,  by  a series  of  tables. 
London,  1767.  8®.  pp.  Ixxx.,  326. 

Young,  W.  B.  An  arithmetical  dictionary,  or 
book  of  reference ; comprising  a system  of  practical 
tables.  6th  ed.  New  York,  1847.  8®.  f.  (l), 

pp.  v.-f-,  ff.  (6),  pp.  224,  ff.  (3). 


T 


CORNELL  UNLVERSITY.  8i 


ADDENDA, 


• History  and  Biography. 

d.  History  of  Calculus. 

Gerhardt,  C.  I.  Die  Entdeckung  der  hoheren 
Analysis.  Halle,  1855.  80.  pp.  viii.,  155.  Plates. 
{In  his  Geschichte  der  hoheren  Analysis,  i®  Abth. ) 

Instruments. 

Gurley,  W.,  and  L.  E.  A manual  of  the  prin- 
cipal instruments  used  in  American  engineering  and 
surveying.  15th  ed.  Troy,  N.  Y.,  1869.  16®. 

pp.  164,  ff.  (3).  Plates  and  wdcts. 

Pictet,  R.,  et  G.  Cellerier.  Methode  generale 
d’integration  continue  d’une  fonction  numerique 
quelconque  a propos  de  quelques  theor^mes  fournis 
par  I’analyse  mathematique  appliquee  au  calcul  des 
courbes  d’un  nouveau  thermographe.  Geneve,  1879. 
8®.  pp.  152.  Plates. 

Wagner,  G.  Ueber  den  Gebrauch  und  die  Ein- 
richtung  des  vor  kurzem  erfundenen  Planimeters. 
[Frankfurt  a.  M.],  1821.  4®.  pp.  12.  Plate. 

Periodicals. 

Annales  des  mines ; ou,  Recueil  de  m^moires 
sur  Sexploitation  des  mines,  et  sur  les  sciences  qui 
s’y  rapportent ; redigees  par  le  Conseil  general  des 
mines.  Serie  i®-7®;  8®  serie,  t.  i.,  ii.  1816-82. 
Paris,  1817-82.  125  V.  8®. 

le  serie,  1816-26,  13  v. ; 2®,  1827-30,  8 v. ; 3*,  1832-41,  20  v. ; 
46,  1842-51,  20  V.;  5«,  1852-61,  20  V.;  6®,  1862-71,  20  v. ; 7®, 
1872-81,  20  V. 

See  “Journal  des  mines,”  1794-1815.  To  be  continued. 

Same;  partie  administrative;  ou,  Recueil 

de  lois,  decrets,  arretes  et  autres  actes  concernant 
les  mines  et  usines.  S6rie  5®-7®.  1852-81.  Paris, 

1852-81.  30  V.  bd.  in  14.  8®. 

Annales  des  ponts  et  chauss^es : mdmoires  et 
documens  relatifs  a I’art  des  constructions  et  au  ser- 
vice de  I’ingdnieur.  i®-5®  s6rie  ; 6®  serie,  t.  i.,  ii. 
1831-82.  Paris,  [1831-82].  102  V.,  8®,  and  2 v. 

of  plates ^ 8®  and  f®. 

S6rie  1®,  1831-40,  20  v. ; 2®,  1841-50,  20  v. ; 3®,  1851-60,  20 
V. ; 4®,  1861-70,  20  V. ; 5®,  1871-80,  20  v.  To  be  continued. 

Same ; lois,  ordonnances  et  autres  actes 

concernant  Padministration  des  ponts  et  chaussdes. 
S^rie  i«-5®.  1831-80.  Paris,  [1831-80].  50  v. 

bd.  in  54.  8®. 

Tables  g^n^rales.  i®  s^rie.  1831-40. 

Paris,  1843.  8®. 

Same.  2®  s^rie.  1841-50.  Paris,  1853. 

8®. 

Same.  3®  sdrie.  1851-60.  Paris,  1866. 

8®. 

Annales  t^l^graphiques ; publi^es  par  un  comity 
compost  de  fonctionnaires  de  Padministration  des 
lignes  teldgraphitjues.  Tome  i.,  Juillet-Aout,  1858. 
Paris,  1858.  1 j)t.  8®. 

Lettered  “ Electric  telegraph.  Miscell.  journals.” 

Annales  tt^ldgraphiques ; publi^es  sous  le  pat- 
ronage de  le  directeur  gendral  des  lignes  tel^gra- 
phiques.  Tome  i. ; ii.,  livr.  1®,  2®.  Paris,  1855-56. 
1 V.,  2 pt.  8®. 

Lettered  “ T61egraphes  61ectrique.  Journaux  divers.” 

Annals  of  electricity,  magnetism,  and  chemistry, 
and  guarilian  of  experimental  science.  Vol.  ii.,  no. 
8;  iii.,  17,  18.  London,  1838-39.  8®. 

Lettered  “ Electric  telegraph.  Miscell.  journals.” 


Electrical  magazine  (The) ; conducted  by  C.  V. 
Walker.  Vol.  i.,  no.  i.  July,  1843.  London,  1843. 
8®. 

Lettered  “ Electric  telegraph.  Miscell.  journals.” 

Engineer  (The).  Vol.  i.-liv.  1*856-82.  Lon- 
don, [1856-82].  54  V.  f®. 

To  be  continued. 

Engineering  and  mining  journal  (The).  Vol. 
xxiv.-xxxiv.  New  York,  1877-82.  ii  v.  f®. 

To  be  continued. 

Journal  des  mines;  public  par  PAgence  des 
mines  de  la  republique.  An  III.  [i794]-i8i5. 
Paris,  [1794-1815].  38  V.  8®. 

For  continuation  see  “Annales  des  mines.” 

Table  analytique  des  matieres  contenues 

dans  les  xxviii.  premiers  volumes ; par  P.  X.  Le- 
schevin.  Paris,  1813.  8®. 

Same.  [Tomes  xxix.-xxxviii.  ] ; avec  une 

table  generale  des  planches  renfermees  dans  les 
trente  huit  volumes ; r^digee  par  A.  C.  L.  Peltier. 
Paris,  1821.  8®. 

Journal  des  t^legraphes  : revue  mensuelle  inter- 
nationale.  Tomei.,  ii. ; iii.,  nos.  1-4.  Paris,  1865- 
68.  2 V.,  2 pt.,  bd.  in  i v.  1.  8®. 

Lumi^re  dectrique  (La) : journal  universel  d’6- 
lectricite  hebdomaire.  Tome  ii.-vii.  Paris,  1880- 
82.  6 V.  4®. 

To  be  continued. 

National  telegraphic  review  (The),  and  opera- 
tor’s companion;  edited  by  J.  D.  Reid.  Vol.  i., 
no.  2.  July,  1853.  Philadelphia,  1853.  8®. 

Portrs. 

Lettered  “ Electric  telegraph.  Miscell.  journals.” 
Railroad  gazette  (The).  Vol.  vii.-xiv.  New 
York,  1876-82.  8 V.  f®. 

To  be  continued. 

Repertorium  fiir  Experimental-Physik,  fiir  phys- 
ikalischeTechnik,  mathematische  und  astronomische 
Instrumentenkunde ; herausgegeben  von  P.  Carl. 
Bd.  viii.-xviii.  Munchen,  etc.,  1872-82.  ii  v.  8®. 
To  be  continued. 

Same.  General  Register  zu  Bd.  i.-xv. 

Munchen,  etc.,  1881.  8®. 

Shaffner’s  telegraj)!!  companion.  Vol.  ii.,  no.  i. 
Jan.  1855.  New  York,  1855.  8®. 

Lettered  “ Electric  telegraph.  Miscell.  journals.” 

Society  of  Engineers.  Transactions.  1869- 
78.  London,  1872-79.  lo  v.  8®. 

Van  Nostrand’s  eclectic  engineering  magazine. 
Vol.  i.-xxvii.  1869-82.  New  York,  1869-82.  27 

v.  8®. 

To  be  continued. 

Problems. 

f.  Trigonometrical  Problems. 

Wittiber,  (F.  G.  A.  ?).  Stereometrisch-trigo- 
nometrische  Aufgaben.  Glatz,  [1866].  4®.  f- (0» 

pp.  18. 

Mechanics. 

f.  Pneumatics. 

Donker  Curtius,  B.  Method!  quibus  aeris 
impulsus  et  venti  velocitas  determinantur.  Lugduni 
Batavorum,  1826.  4®.  if.  (5),  pp.  57.  Plate. 

Freund,  G.  A.  De  aeris  motu  circa  cylindrum 
qui  rotatur. — Diss.  inaug.  Berolini,  1862.  4®.  pp. 
1 7-j-.  Plate. 


INDEX 


In  the  following  Index  the  names  of  authors  are  printed  in  Roman  type,  the  chief  subject-headings 
in  Antique,  and  the  subordinate  subject-headings  in  Italic,  The  references  are  to  page  and  column. 


Abbot,  H.  L.,  42  a. 

Abel,  N.  H.,  15  a. 

Abelian  Functions y 46  b. 
Abendroth,  W.,  53  b. 

Ackermann,  C.  C.,  57  b. 

Acoustics,  63  b. 

Adams,  C.,  58  a. 

Adams,  C.  42  b. 

Adams,  D.,  28  b. 

Adams,  J.  C,  32  b. 

Adams,  W.  H.  D.,  42  a. 
Adh^mar,  J.,  23  b,  28  b,  47  a. 
Agnesi,  M.  G.,  49  a. 

Airy,  G.  B.,  15  a,  30  b,  38  a,  68  b, 
76  a b. 

Akerberg,  H.  S.,  22  a. 

Alberi,  E.,  33  a. 

Alembert,  J.  le  K.  d’,  15  a. 
Alewyn,  C.,  56  b. 

Alexander,  C.,  28  b. 

Alexander,  J.  H.,  80  b. 

Algebra,  23  b. 

Algebra,  Geometric,  59  a. 
Algebra,  History  of,  5 b. 
Algebra,  Multiple,  59  a. 
Algebraic  Problems,  lO  b. 
Alhazen,  13  a. 

Allan,  W.,  45  a. 

Allen,  J.  K.,  43  b. 

Allen,  S.  M.,  67  b. 

Allgemeine  Encyklopadie  d.  Phy- 
sik,  3 b. 

Almeida,  J.  C.  d’,  67  b. 

American  ephemeris,  1 1 b,  34  b. 
Amer.  inst.  of  mining  eng.,  39  b. 
Amer.  journ.  of  niatheni.,  8 a. 
Amer.  telegraph  co.,  72  a. 
Amersfoordt,  J.  P.,  22  a. 

Amiot,  A.,  II  a,  47  a. 

Analysis,  Diophantine,  78  a. 
Analysis,  Indeterminate,  78  a. 
Analyst,  (The),  8a. 

Analytic  Geometry,  49  a. 
Ancient  and  Oriental  Au- 
thors, 13  a. 

Anderson,  R.,  69  a. 

Anderssen,  A.,  38  a,  54  b. 

Angel,  H.,  47  a. 

Angeli,  S.  degli,  1 1 a,  47  a. 
Angstrom,  A.  J.,  76  a. 

Angular  Section,  54  a. 

Animal  Mechanics,  63  a. 

Annalen  d.  Physik.  8 a. 


Annalen  d.  Physik  u.  Chemie,  8 a. 
Annalen  d.  Physik  u.  d.  phys. 
Chemie,  8 a. 

Annales  de  mathematiques,  8 b. 
Annales  des  mines,  81  a. 

Annales  des  ponts,  81  a. 

Annales  telegraphiques,  81  a. 
Annali  di  mathematica,  8 b. 
Annali  di  scienze  mathem.,  8 b. 
Annals  of  electricity,  etc.,  81  a. 
Annuities,  27  b. 

Anthony,  W.  A.,  67  b. 

Anton, , 77  a. 

Apollonius  PergcBus,  13  a. 
Appleton’s  dictionary  of  mechan- 
ics, 3 b. 

Approximations,  26  a. 

Aqueducts,  40  a. 

Arago,  D.  F.  J.,  15  a. 

Aratus  Solensis,  13  a. 

Arbogast,  L.  F.  A.,  37  a. 
Archimedes,  13  b. 

Archivd.  Mathem.  u.  Physik,  8 b. 
Archiv  d.  reinen  u.  angew.  Math., 
8 b. 

Arendt,  G.,  78  a. 

Arithmetic,  28  b. 

Arithmetic,  History  of,  5 b. 
Arithmetical  Problems,  10  b. 
Armstrong,  R.,  44  b,  74  b. 
Arneth,  A.,  4 b. 

Arnoux,  E.,  70  b. 

Artur,  J.  F.,  60  a. 

Arya  Bhatta,  13  b. 

Asteroids,  31  b. 

Astronomical  Instruments,  7 a. 
Astronomical  journal,  9 b. 
Astronomical  notices,  9 b. 
Astronomical  Periodicals,  9 b. 
Astronomical  Tables,  1 1 b. 
Astronomy,  30  b. 

Astronomy,  History  of,  5 b. 
Astronomy,  Practical,  34  b. 
Astronomy,  Spherical,  34  b. 
Astronomy,  Uses  of,  23  b. 
Atkinson,  II.,  34  a. 

Atlantic  telegraph  co.,  72  a. 
Atomic  Theory,  69  a. 
Attensperger,  F.  X.,  27  b. 
Attraction,  65  a. 

Atwood,  G.,  63  a,  64  a. 
Auchincloss,  W.  S.,  43  b. 
Auerbach,  F.,  68  b,  70  a. 

August,  E.  F.,  47  a. 

August,  F.  W.  O.,  57  b. 


Auroras,  65  a. 

Auth,  E.,  58  a.  ^ 

Azemar,  L.  P.  V.  M.,  54  a. 


Babbage,  c.,  3 a,  12  a,  46  b, 
60  b. 

Bachhoffner,  G.  H.,  70  a. 
Bachmann,  H.  K.  W.  h".,  50  b. 
Bacon,  R.,  22  a,  52  a. 

Bahrdt,  , 23  b,  57  a. 

Bailie,  J.,  69  a. 

Bailly,  C.,  22  a. 

Bails,  Ik,  20  a. 

Baily,  F.,  27  b,  59  b. 

Baker,  II.,  28  b. 

Baker,  J.,  43  b. 

Baker,  T.,  53  b,  60  b,  6l  b. 

Baldi,  B.,  4 b. 

Bale,  M.  P.,  60  b. 

Ball,  R.  S.,  61  1). 

Baltzer,  R.,  27  b,  39  a. 

Bamber,  1C  F.,  63  a. 

Barfuss,  F.  \V.,  77  a. 

Barlow,  P.,  3 b,  ii  b,  45  a,  78  a. 
Barnaart,  .A.,  74  b. 

Barnard,  J.  G.,  41  b. 


Parameter.  7 b. 

Barr,  W.  M.,  44  b,  74  b. 

Bar  re  me,  F.,  28  b. 

Barrow,  I.,  15  b,  22  a. 

Bartels,  II.,  43  a. 

Bartlett,  \V.  1 1.  C.,  61  b,  67  b. 
Bartlett,  W.  P.  G.,  45  b. 

Barton,  W.,  4 b. 

Balclielder,  S. , 7 a. 

Bauclouin,  F.  M.,  70  b. 

Baum,  '1'.  L.  R.,  57  b. 

Baumgardt.  E.,  50  b. 

Baur,  C.  W.,  49  a. 

Bayles,  J.  C.,  43  b. 

Baylis,  1C,  27  b. 

Bayma,  J.,  69  a. 

Bazin,  H.,  64  a. 

Bazley,  T.  S.,  60  b. 

Beardslee,  1..  A.,  45  a. 

Beaune,  F.  de,  26  a. 

Becker,  E.  IC,  31  b. 

Beckett,  IC,  30  b. 

Becquerel,  A.  C.,  69  a,  70  a. 
Becquerel,  A.  E.,  69  a,  75  b. 
Beeck  Calkoen,  J.  F.  v.,  22  a. 
Beha-Eddin  al  Aamouli,  13  b. 
Behlau,  A.,  57  b. 

Belanger,  J.  B.  C.  J.,  49  a,  63  b, 
64  b. 


84 


INDEX. 


Belgium — Ministhe  des  travaux 
publics^  72  a. 

Belidor,  B.  F.  de,  20  a. 

Bell,  A.,  24  a. 

Bellavitis,  G.,  38  a,  52  a,  59  a. 
Beltrami,  E.,  15  b. 

Belville,  J.  H.,  7 b,  8 a.- 
Bender,  C.,  40  b. 

Benjamin,  P.,  4 a. 

Benton,  J.  G.,  66  a. 

Berckelmann,  J.  A.  C.,  5 b. 
Bergh,  J.  W.  v.  den,  34  b. 

Bergon, , 71  a. 

Berkeley,  G.,  22  a. 

Berkenbusch,  C.,  54  b. 

Berlin,  C.  G.,  27  b. 

Bermann,  E.  O.,  76  a. 

Bernard,  C.  E.,  52  a. 

Berner,  T.  M.,  49  b. 

Bernhardt,  , 22  a. 

Bernoulli,  D.,  64  a. 

Bernoulli,  Jakob,  15  b,  76  b. 
Bernoulli,  Johann,  i st,  15  b. 
Bernoulli,  Johann,  3d,  ii  b. 
Bertram,  F.  H.  T.,  78  a. 

Bertram,  H.,  46  a. 

Bertrand,  J.  L.  F.,  24  a,  28  b, 
37  a b,  47  a. 

Bessel's  and  Allied  Functions^ 
46  a. 

Bethune,  J.  E.  D.,  76  b. 

Bette,  W.,  31  b. 

Beyer,  —3 — , 24  a. 

Bezout,  E.,  20  a,  35  b. 

Bhascara  Acharya,  5 b,  13  b,  28  b. 
Bibliography,  3 a. 

Bkrens  de  Haan,  D.,  12  a,  38  a, 
56  a. 

Biermann,  W.  G.  A..  46  a. 
Bigelow,  J.,  72  b. 

Binns,  W.,  53  a. 

Biography,  4 b. 

Biot,  J.  B.,  4 b,  49  b,  67  b. 
Biquadratics,  26  b. 

Bischof,  G.,  74  b. 

Bischoff,  J.  N.,  55  a. 

Bissell,  J.  N.,  24  a. 

Bjorling,  E.  G.,  77  a. 

Bjorn  Gunnlaugsson,  20  a. 

Blake,  E.  W.,  64  b. 

Blake,  J.  L.,  30  b. 

Bland,  M.,  10  b,  1 1 a. 

Blavier,  E.  E.,  70  b. 

Bledsoe,  A.  T.,  22  a. 

Bleiswyck,  P.  v.,  41  b. 

Blodget,  L.,  65  a. 

Blum,  A.,  20  a. 

Bliimel,  , 27  b. 

Boetius,  A.  M.  T.  S.,  28  b. 
Boguslawski,  A.  v.,  ^ b. 

Boilers,  44  b. 

Bois,  V.,  71  a. 

Boiler,  A.  P.,  40  b. 

Bolton;  II.  C.,  4 b. 

Boncompagni,  H.,  78  a. 

Bond,  G.  l\,  7 a,  31  b,  34  b. 
Bonel,  A.,  72  a. 

Bonnycastle,  C.,  47  a. 
Bonnycastic,  J,.  24  a,  30  b,  53  a. 
Book-keeping,  35  b. 

Boole,  G.,  38  a,  45  b. 

Booth,  M.  L.,  59  a. 

Borda,  J.  C.,  8 a. 

Boset,  A.,  49  b. 


Bossut,  C.,  39  b. 

Bossut,  J.,  4 b. 

Boston,  Mass. — Pub.  library,  3 a. 
Bos  wall,  G.,  72  b. 

Bothe, , 56  b. 

Boucharlat,  J.  L.,  36  a,  49  b,  61  b. 
Bougainville,  L.  A.  de,  37  b. 
Bouquet,  C.,  79  a. 

Bouquet,  F.,  49  b. 

Bourdon,  P.  L.  M.,  24  a,  28  b, 
49  b,  78  b. 

Bourne,  J.,  43  b. 

Boutan,  A.,  67  b. 

Bowditch,  N.,  66  b. 

Bowditch,  N.  I.,  5 a. 

Box,  T. , 74  b. 

Bradbury,  W.  F.,  47  a. 

Bradley,  T.,  53  a. 

Brahmegupta,  13  b. 

Brandes,  C.  G.  H.,  49  b. 

Bredow,  F.  C.  F.,  27  b,  80  a. 
Breguet,  L.,  71  a. 

Bremiker,  H.,  34  b. 

Brennecke,  W.  H.,  28  b. 

Brettner,  W.,  80  b. 

Brewster,  D.,  5 a b,  75  b. 

Bridge,  B.,  24  a,  26  a,  54  b. 
Bridges,  40  b. 

Briem,  E.,  28  b. 

Briggs,  H.,  12  a. 

Brinkley,  J.,  30  b. 

Brinkmann, , 80  a. 

Brioschi,  F.,  39  a,  77  a. 

Briot,  C.  A.  A.,  24  a,  46  b,  49  b, 
52  a,  76  a,  79  a. 

Brisse,  A.,  41  b. 

Broager,  P.  D.,  57  a. 

Brooke,  C.,  67  b. 

Brooke,  J.  M.,  71  a. 

Brooks,  D.,  71  a. 

Brooks,  E.,  24  a. 

Brosius,  F.  X.,  26  b. 

Brougham,  H.,  15  b,  64  a. 
Brouwer,  S.,  55  b. 

Brown,  M.  R.,  42  b. 

Browne,  J.  H.  B.,  40  a. 

Brunacci,  V.,  38  b. 

Brunn,  H.  J.  H.,  34  a. 

Briinnow,  F.  F.  E.,  34  b. 
Brunton,  R.,  63  a. 

Brutkowski,  J.,  57  b. 

Bubendey,  G.  H.,  22  b,  37  a,  59  a. 
Buch,  J.  P.,  24  a,  59  a. 

Buchan,  D.  S.,  5 a. 

Biichner,  E.,  26  b. 

Buck,  J.  H.  W.,  45  b. 
Buckmaster,  J.  C.,  67  b,  69  a. 
Budan  de  Boislaurent,  F.  F.  D., 
27  a. 

Buel,  R.  H.,  43  b. 

Buerbaum,  J.,  71  a. 

Bulletin  de  math6matiques,  8 b. 
Burgh,  N.  P.,  43  b,  45  a. 
Burgoyne,  J.  F.,  43  b. 

Burn,  R.  S.,  53  a. 

Burnell,  G.  R.,  41  b. 

Burr,  \V.  II.,  40  b. 

Burt,  W.,  53  b. 

Byrne,  O.,  4 a,  28  b,  63  a,  80  b. 

I^AGNOLI,  A.,  54  b,  79  a. 

Cain,  W.,  40  b,  43  b. 

Calculus,  35  b. 


Calculus,  Differential,  37  a. 
Calculus,  History  of,  7 a,  81  a. 
Calculus,  Integral,  37  b. 

Calculus  of  Functions,  46  b. 
Calculus  of  Variations,  38  b. 
Calculus,  Philosophy  of  23  b. 
Calculus,  Problems  in,  10  b. 
Calendar,  39  a. 

Callet,  F.,  12  a. 

Cambridge  and  Dublin  math, 
journ.,  8 b. 

Cambridge  mathem.  problems,  9 b. 
Cambridge  miscellany,  8 b. 
Cambridge  problems,  9 b. 
Cambridge — Univ. — Observatory, 

32  b. 

Camper,  P.,  75  b. 

Campin,  F.,  42  b. 

Campion,  W.  M.,  9 b. 

Camus,  C.  E.  L.,  20  a,  60  b. 
Canals,  41  b.  '' 

Cantor,  G.,  78  a. 

Cantor,  M.,  5 a. 

Cantzler,  R.  F.  B.,  5 b. 

Cape,  J.,  20  a. 

Capillarity,  69  a. 

Capmany,  G.  de,  20  a. 

Capron,  J.  R.,  65  a. 

Cardano,  G.,  21  b. 

Careme,  A.,  80  a. 

Carmichael,  R.,  36  a. 

Carnot,  L.  N.  M.,  22  b,  50  b, 
51  a b. 

Carpenter,  F.  de  Y.,  53  b. 

Castel,  L.  B.,  20  a. 

Caswell,  J.,  79  a. 

Catalan,  E.,  ii  a,  20  a. 

Cataldi,  P.  A.,  28  b,  29  a. 

Cauchy,  A.  L.,  15  b,  24  a,  31  b, 
36  a,  37  a,  49  b,  76  a. 
Cavalieri,  B.,  47  a,  79  a. 

Cavalry,  66  a. 

Celestial  Alechanics,  31b. 
Centnerschwer,  J.  J.,  ii  b. 
Ceulen,  L.  v.,  9 b,  29  a. 

Challis,  J.,  33  b,  67  b. 

Chambers,  G.  F.,  30  b. 

Chanute,  O.,  40  b. 

Charlon,  H.,  21  b. 

Chase,  P.  E.,  29  a,  70  b,  76  b. 
Chasles,  M.,  7 a,  13  b,  51  a,  54  b. 
Chaucer,  G.,  7 a. 

Chauvenet,  W.,  34  b,  47  a,  66  b, 
67  a,  79  a. 

Chester,  C.  T.,  70  a. 

Chevalier,  M.,  43  a. 

Cheyne,  C.  H.  H.,  10  b,  32  a, 

33 

Childe,  G.  F.,  57  b. 

Chisholm,  D.,  27  b. 

Choquet,  C.,  24  a. 

Christie,  J.  R.,  9 b. 

Christmann,  W.  L.,  13  b. 
Christoffel,  E.  B.,  69  a. 

Chrzescinski, , 77  a,  79  a. 

Church,  A.  E.,  36  a,  49  b,  52  a. 
Circle,  Quadrature  of  the,  21  b, 

57  b. 

Circles,  54  b. 

Circular  Functions,  46  a. 

Cirodde,  P.  L.,  47  a. 

Clairaut,  A.  C.,  47  a,  56  b. 
Claridge,  J.,  65  a. 

Clark,  D.  K.,  42  b. 


INDEX. 


Clark,  1C.,  40  b. 

Clark,  L.,  70  a. 

Clarke,  A.  R.,  53  b. 

Clarke,  F.  W.,  12  a. 

Clarke,  G.  S.,  53  a. 

Clarke,  J.  S.,  54  b. 

Clarke,  T.  C.,  40  b. 

Claudel,  J.,  39  b. 

Clausius,  R.  E.  J.,  75  a. 

Clavius,  C.,  15  b,  39  a. 

Clebsch,  A.,  46  b,  61  b. 

Clery,  C.,  66  b. 

Cocker,  E.,  29  a. 

Coffin,  J.  H.  C.,  32  a,  54  b,  67  a. 
Colburn,  W.,  10  b,  29  a. 

Colburn,  Z.,  5 a,  44  b. 

Colby,  H.,  II  b. 

Colenso,  J.  W.,  24  a,  80. 
Collections  and  Miscellane- 
ous, 15  a. 

Collins,  J.,  21  a,  67  a. 

Colnet  d’Huart, de,  74  b. 

Color,  75  b. 

Colyer,  F.,  60  b. 

Comberousse,  C.  de,  48  b. 
Combinations,  67  a. 

Cornels,  31  b. 

Compagnon,  P.  F.,  47  a. 
Computation  of  Earthzvorks,  54  a. 
Comte,  A.,  22  b. 

Condorcet,  M.  J.  A.  N.  de  C.  de, 
37  b,  76  b. 

Conic  Sections,  54  b. 

Conservation  of  Force,  74  b. 
Contmiied  Fractioiis,  55  b. 

Cooke,  W.  F.,  72  a. 

Cooper,  J.  H.,  60  b. 

Cooper,  Hewitt  & Co.,  45  a. 
Copernicus,  N.,  58  a,  79  a. 
Corfield,  W.  II.,  40  b. 

Coriolis,  C.  G.,  22  b. 

Cornwell,  J.,  29  a. 

Correlation  of  Figures,  51  b. 
Correspondence,  21  a. 
Correspondance  malhematique, 

8 b. 

Corssen,  IL,  60  b. 

Cossali,  P.,  15  b. 

Costa  de  Serda,  E.,  72  a. 

Cotes,  R.,  21  b. 

Cotterill,  J.  II.,  43  b. 

Cournot,  A.  A.,  22  b,  76  b. 
Courtenay,  E.  II.,  36  a. 

Coutinho,  J.  M.  da  S.,  43  a. 
Craig,  1).  II.,  72  b. 

Craig,  T. , 63  b,  64  a. 

Cramer,  D.  G.,  56  a. 

Crelle,  A.  L.,  45  b. 

Cremona,  L.,  15  b. 

Cresswell,  1).,  61  a. 

Crosby,  A.,  47  a. 

Crousaz,  J.  P.  de,  36  a. 
Crystallography,  39  a. 

Cubics,  26  b. 

Cumming,  !>.,  69  a. 

Curtis,  G.  T.,  72  b. 

Curtze,  M.,  6 a. 

Curves,  55  a. 

Curves,  Algebraic,  56  a. 

Curves,  Caustic  and  Optical,  56  b. 
Curves,  Cycloidal,  56  a. 

Curves  defined  by  Alax.  or  Alin. 

Properties,  56  b. 

Curves,  Higher  Plane,  55  a. 


85 


Cuit'es  of  Double  Cumuxture,  56  b. 
Cu7'ves  of  the  2d  Order,  50  a. 
Curves,  Special  Plane,  5^;  b. 

J^ABOLL,  N.,  29  a. 

Daguin,  P.  A.,  67  b. 

Dalton,  T.,  10  b. 

Daniell,  J.  F.,  70  a. 

Darcy,  H.,  64  a. 

Daubeny,  C.,  69  a. 

Davidson,  E.  A.,  52  b,  53  a. 
Davies,  C.,  4 a,  22  b,  24  a,  29  a, 
36  a,  47  a,  49  b,  52  a b,  53  b. 
Davies,  G.,  27  b. 

Davies,  T.  S.,  77  a. 

Davis,  C.  H.,7>.,  7 b. 

Davis,  J.,  21  b. 

Davy,  M.,  69  a. 

Day,  J.,  20  a,  24  a,  53  a,  67  a,  80 a. 
Deahna,  H.  W.  F.,  63  a. 

Deal  try,  W.,  36  a. 

Dechales,  C.  F.  M.,  20  a. 

Defi^iite  Integrals,  38  a. 

Deinse,  A.  J.  v.,  31  b. 

Delambre,  J.  B.  J.,  5 a b,  6 a. 
Delaunay,  C.  E.,  6i  b. 

Delboeuf^  J.,  23  b. 

Delisle,  A.,  49  b. 

Dellmann,  J.  F.  G.,  69  a. 

De  Moivre,  A.,  28  a. 

De  Morgan,  A.,  3 a,  29  a,  36  a, 
46  b,  76  b,  79  a,  80  b. 

De  Morgan,  II.,  21  b. 

Dempsey,  G.  D.,  40  b.  41  a. 
Denison,  E.  B.,  30  b. 

Denison,  G.  T.,  66  a. 

De  Peyster,  J.  W.,  66  b. 
Desargues,  G.,  16  a. 

Descartes,  R.,  16  a. 

Deschanel,  A.,  68  b. 

Desvignes,  A.,  ii  a. 
Determinants,  39  a. 

Deutz,  J.,  28  a. 

Dewan  Kanh  Ji,  20  a. 

Dialling,  39  a. 

Diarian  repository,  9 b. 

Dick,  T.,  34  a. 

Dictionaries,  3 b. 

Diederichs,  O.,  50  b. 

Diedrichs,  J.  11.,  41  a. 

Dietz, , 22  b. 

Differential  Equations,  38  a. 
Diffraction,  76  a. 

Dilling,  C.  A.  A.,  55  a,  57  a. 
Dilworth,  T.,  29  a,  35  b. 
Diophantus  Alexandrinus,  78  b. 
Dippe,  M.  C.,  16  a,  37  b. 
Dissertations  on  hist,  of  sci.,  5 a. 

Dittrich,  , 46  a. 

Divers  ouvrages  math^m.,  16  a. 
Division,  Harmonic,  51  b. 
Dodgson,  C.  L.,  39  a. 

Dodson,  J.,  9 b. 

Dolbear,  A.  E.,  7 b. 

Dbllen,  J.  II.  W.,  7 b. 

Donker  Curtius,  B.,  81  b. 
Donkin,  W.  F.,  68  b. 

Dornheim,  F.,  50  b,  57  b,  63  a. 
Dove,  II.  \V.,  65  a,  75  b,  80  b. 
Downing,  11.,  73  b. 

Dowson,  A.,  43  a. 

Dowson,  J.  E.,  43  a. 

Drawing,  Geometric,  53  a. 


Dra^vhig,  Topographical,  54  a. 
Dredge,  J.,  43  a. 

Drew,  W.  II.,  54  b. 
Drinkwater-Bethune,  J.  E.,  6 a. 
Drobisch,  M.  W.,  5 ab,  22  a,  23  b, 
32  b,  51  a,  57  b,  77  b. 

Duane,  W.,  66  a. 

Du  Bois,  A.  J.,  41  a. 

Dubois,  E.  P.,  30  b. 

Du  Bois-Reymond,  P.  D.  G.,  64  a 
Duda,  T.,  57  b. 

Dudley  observatory,  6 a,  32  b. 
Dufour,  G.  H.,  66  b. 


Duhamel,  J.  M.  C.,  22  b,  36  a, 
61  b. 

Duhring,  E.  K.,  22  b. 

Dumas,  W.  A.,  63  b. 

Du  Moncel,  T.  A.  L.,  69  a,  71  a. 

mean,  T.,  47  b. 

Dupin,  F.  P.  C.,  22  a. 

Duport,  , 59  a. 

Dupre,  A.,  75  a. 

Diirer,  A.,  52  b,  66  a. 

Dynamics,  63  a. 

Dyna?7iics  of  a Particle,  63  b. 


jgADS,  J.  B.,  42  a. 

Earnshaw,  S.,  63  a,  64  b. 

Earth,  ( The),  32  a. 

Earthworks,  Co77iputatio7t  of,  54  a. 
East  India  telegraph  co.,  72  b. 
Eastman,  J.  R.,  32  b,  33  b,  59  b. 
Eastman,  S.,  54  a. 

Eaton,  J.  S.,  29  a. 

Ebe.hard,  K.  W.  D.,  61  b,  6.,  a. 
Eccentric  Literature,  21  u. 
Eclipses,  32  a. 

Eddy,  II.  T.,  41  a,  50  a,  75  a. 
Edwards,  E.,  45  a. 

Egen,  P.  N.  C.,  27  a. 
Ehrlenholtz,  A.,  26  b. 

Eichhorn,  C.  F.,  22  b. 

Eickemeyer, , 77  b. 

Eisenlohr,  \V.,  67  b. 

lutze,  , 28  a,  50  a. 

Ekama,  C.,  5 a,  6 a. 

Ekeroth,  C.  E.  C.,  57  b. 

Electric  and  intern,  teleg.  co.,  72  b. 
Electrical  magazine,  81  b. 
Elect7-ical  Aleasure/ne/it,  70  a. 
Electricity,  69  a. 
Electro-che77iist7y,  70  a. 
ETunhiation,  27  b. 

Elliot,  G.  II.,  42  a. 

Elliot,  J.,  24  1). 

Elliptic  Eunctio7is,  46  a. 

Elliptic  AIotio7i,  32  b. 

Ely,  11.  B.,  73  1). 

Emerson,  F.,  29  a. 

Emerson,  J.,  29  b. 

Emerson,  W.,  20  b,  24  b,  29  b, 
30  1),  36  a,  39  a,  45  b,  47  b, 
52  b,  53  a,  54  1),  55  a,  61  1), 
63  1),  67  a,  75  b,  79  a. 
Emsmann,  A.  G.,  78  b. 
Emsmann,  A,  II.,  80  b. 
Emsmann,  G.,  58  b. 
Encyclopaedia  metrojiolitana,  4 a. 
Encyclopaedias,  3 b. 
Encyclopedic  methodique,  4 a. 
Ende,  11.  F.  am,  77  b. 

Enfield,  W.,  67  1). 

Engineer,  ( i'he),  81  b. 


86 


INDEX. 


Engineer  and  machinist’s  drawing 
book,  39  b. 

Engineering,  39  b. 

Enginee7-ittg,  Mechajiical,  42  b. 
E)tgmeering,  Military,  66  a. 
Engifieeritig,  Sajiita^y,  43  b. 
Engineering  and  mining  journal, 
81  b. 

Eiigineei's,  Biographies  of,  7 a. 
Eagines,  Alai  ine,  45  a. 

Enschede,  W.  A.,  22  b,  69  a. 
Ephemerides,  ii  b. 
Ephemerides  of  minor  planets, 

12  a. 

Equations,  26  a. 

Equations,  Differential,  38  a. 
Equations,  Fimctional,  46  b. 
Equations  of  nth  Degree,  26  b. 
Equipollences,  59  a. 

Ericsson,  J.,  35  b,  67  b. 

Erler, , 78  b. 

Ermerins,  J.  W.,  22  b,  69  a. 
Ernst,  O.  H.,  66  a. 

Ersch,  J.  S.,  3 a. 

Eschweiler, , 61  a. 

Espy,  J.  P.,  65  a. 

Ettingshausen,  A.  v.,  67  b. 
Euclides,  13  b. 

Euler,  E.,  16  a,  24  b,  33  b,  36  a, 
37  b,  36  b,  61  b,  63  b. 

Evans,  E.  \V.,  47  b. 

Everett,  E,,  23  b. 

Evers,  H.,  44  a b. 

Ewyck,  D.  J.  V.,  22  b. 

Exley,  T.,  75  b. 

Exner,  , 27  a. 

Extraits  de  rapports,  71  a. 

P G.,  21  b. 

P'aber,  F.,  51  b. 

P'aber,  T.,  21  b. 
p'ahland,  IL,  49  a. 
p'airbairn,  W.,  45  a. 

Farewell  banquet  to  J.  Bigelow, 
72  b. 

Farr,  W.,  28  a. 

Eaure,  A.,  59  a. 

Eaure,  il.,  58  a. 

P'eldner,  L.,  54  b. 

Feldt,  L.,  33  b. 

Eergola,  N.,  47  b,  50  a. 
Ferguson,  J.,  30  b,  67  b. 

Fermat,  P.  de,  16  a. 
k'errel,  W.,  65  a. 

Ferrers,  N.  M.,  lo  a,  50  a. 
Fiedler,  J.  A.,  7 a. 

Fiedler,  \V.,  77  a. 

Field,  C.  W.,  72  b. 

Field  Service,  66  a. 

Figuier,  G.  L.,  71  a. 

Figures,  Correlation  of,  51  b. 
Finx'us,  O.,  47  b. 

Finger,  F.  A.,  7 a. 

Finite  Differences,  45  b. 

J'  inke,  T.,  47  b. 

Finlaison,  J.,  72  b. 

Fischer, , 56  a. 

1‘ischer,  E.,  54  a. 

Fischer,  G.  E.,  58  a. 

I'ischer,  P.  A.,  77  b. 

I'isher,  G.  C.,  29  b. 

Fitch,  J.  G.,  29  a. 
l*'ilzgerald,  I’.,  72  b. 


Fleming,  A.,  32  b. 

Fleming,  P.,  57  b. 

Flesch,  J.,  74  b. 

Fletcher,  W.,  44  a. 

Flohr,  A.,  52  a. 

Floquet,  G.,  38  b. 
h liigel,  J.  G.  B.,  57  a. 

Fluxions,  35  b. 

Fockens,  G.  R.,  7 b,  33  b. 
Foelsing,  J.  H.,  38  a. 

Fontaine,  H.,  69  b. 

Fo7-ce,  Conservation  of,  74  b. 
Formul(2,  12  a. 

Forney,  M.  N.,  4 a. 

Forsach,  J.  A.,  71  a. 

Forstemann,  W.  A.,  54  b,’'8o  a. 
Forster,  C.,  61  a. 

Foster,  S.,  8 a,  16  b,  39  a. 

Fourier,  J.  B.  J.,  27  a. 

Francis,  J.  B.,  42  a,  45  a. 
Francoeur,  L.  B.,  20  b,  53  a. 
Franklin,  B.,  69  b. 

Franqueville,  C.  de,  43  a. 

French,  B.  B.,  72  b. 

Frencn,  j.  11.,  ^9  b. 

Fresenius,  F.  C.,  55  b. 

Fresnel,  A.  J.,  16  b. 

Freund,  G.  A.,  81  b. 

Freydanck, , 64  b. 

Freyer,  , 54  b. 

F>eyer,  P.  G.,  51  b. 

Frick,  J.,  67  b. 

Friction,  74  b. 

F'riedlein,  G.,  5 a. 

Fries,  J.  F.,  76  b. 

Fries,  R.  de,  29  b. 

Frisi,  P.,  16  b. 

Frosch,  C.,  58  a. 

Frost,  P.,  51  a,  55  b. 

Fuchs,  L.,  58  a. 

Fulle, , 78  b. 

Functional  Equations,  46  b. 
Functions,  46  a. 

Ftnictiotts,  Abelia^i,  46  b. 
Functio7is,  Bessels  and  Allied, 

46  a. 

Functions,  Calculus  of,  46  b. 
Fimctions,  Circular  and  Hyper- 
bolic, 46  a. 

Fimctions,  Elliptic,  46  a. 
Functions,  Symmetric,  46  a. 

Fuss,  P.  II. , 21  b. 

QALBRAITH,  W.,  12  b,  68  b. 

Galezowski,  J.,  28  a. 

Galilei,  G.,  16  b. 

Galvanism,  70  a.  • 

Gandtner, , 58  b. 

Ganot,  A.,  67  b. 

•Gamier,  C.  F.,  71  a. 

Gamier,  J.  G.,  24  b,  27  b,  29  b, 
36  a,  37  b,  38  a,  47  b,  49  b. 
Gamier,  P.,  72  b. 

Gaskin,  T.,  1 1 a b. 

Gaudard,  J.,  39  b. 

Gauss,  C.  F.,  17  a,  33  a,  70  b, 

77  ‘'i,  78  b. 

Gautier,  A.,  32  b. 

Gavarret,  J.,  69  b,  71  a. 

Gebler,  K.  v.,  6 b. 

Gehler,  J.  S.  T.,  4 a. 

Gehring,  P'.  E.,  38  b. 

Gelder,  J.  J.  de,  39  b. 


Gemma  Frisius,  R.,  29  b. 

Genesee  Valley  teleg.  co.,  72  b. 
Genet,  E.  C.,  64  a. 

Genochi,  A.,  78  b. 

Gent,  K.,  7 a. 

Gentleman’s  math,  companion, 

8 b. 

Geodesy,  53  b. 

Geography,  Mathematical,  67  a. 
Geometric  Algebra,  59  a. 
Geometric  Drawing,  53  a. 
Geometric  Instruments,  8 a. 
Geometric  Problems,  1 1 a. 
Geometry,  47  a. 

Geometry,  Analytic,  49  a. 
Geometry,  A nalytic,  of  Three  Di- 
mensions, 50  b. 

Geometry,  Descriptive,  52  a. 
Geometry,  History  of,  7 a. 
Geometry,  Methods  in,  23  b. 
Geometry,  Modern  Higher,  51a. 
Geometry,  Plane,  49  a. 

Geometry,  Plane  A nalytic,  50  a. 
Geometry,  Practical,  52  b. 
Geometry,  Solid,  49  a. 

Gerber,  , 58  b. 

Gercke, , 77  b. 

Gerhardt,  C.  I.,  5 a,  29  b,  8i  a. 
Gerling,  C.  L.,  12  a,  32  a,  33  b, 
77  a. 

Gerono,  C.  C.,  49  b. 

Gessner,  T.  G.,  55  b,  57  a. 
Gherardi,  S.,  5 a. 

Ghetaldi,  M.,  10  a. 

Giannini,  P.,  17  a. 

Gies,  W.,  22  b,  56  b. 

Giesel,  K.  F.,  7 a. 

Gilbert,  D.,  63  b. 

Gill,  C.,  78  b. 

Gillespie,  W.  M.,  43  b,  53  b. 
Gillmore,  Q.  A.,  43  b,  45  a. 

Gintl,  J.  W.,  71  a. 

Gintl,  W.  F.,  69  b. 

Gian,  P.,  76  a. 

Glass  & Elliot,  72  b. 

Globes,  32  b. 

Gloesener,  M.,  22  b. 

Godfray,  H.,  30  b. 

Goniometry,  80  a. 

Gonon,  E.,  71  a. 

Goodeve,  T.  M.,  44  a. 

Goodwin,  H.,  10  a,  20  b. 

Gordan,  P.,  46  b. 

Gordan,  P.  A.,  53  b. 

Gordon,  J.  li.  H.,  69  b. 

Gorgas,  R.,  57  b,  78  b. 

Getting,  , 78  b. 

Gouilly,  A.,  75  a. 

Gould,  B.  A.,  30  b,  32  b. 

Gould,  B.  A.,jr.,  6 b. 

Graham,  J.  C.,  44  a. 

Graham,  J.  D.,  35  b. 

Grandtner,  O.,  49  b. 

Grassmann,  H.  G.,  61  b. 
Gravesande,  W.  J.,  61  b. 

Great  Britain — Admiralty,  72  b. 
Great  Britain — Comm,  on  lights, 
42  b. 

Great  Britain — House  of  commons, 
72  b. 

Great  Britain — Patent  office,  71  a. 
Great  Britain — School  of  military 
eng.,  66  a. 

Great  comet  of  1861,  31  b. 


INDEX. 


Grebe,  E.  W.,  26  b,  49  a,  58  b, 
80  a b. 

Grebel,  M.  W.,  7 a. 

Green,  G.,  17  a. 

Green,  S.,  35  b. 

Greene,  C.  E.,  41  a. 

Greene,  R.,  67  b. 

Greenleaf,  B.,  24  b,  29  b,  47  b, 
79  a. 

Gregory,  D.  F.,  10  b,  17  a,  51  a. 
Gregory,  O.  G.,  22  a,  62  a. 

Gros,  J.  B.  L.,  71  a. 

Grove,  W.  R.,  74  b. 

Gruhl,  E.,  63  b. 

Grunert,  J.  A.,  17  a,  80  b. 
Grupelli,  L.,  17  a. 

Gudermann,  C.,  77  b. 
Guglielmini,  D,,  17  a. 

Guillemin,  A.,  68  a. 

Guinodie,  R.,  49  b. 

Guldberg,  C.  M.,  7 b,  69  a. 
Gumersall,  T.  B.,  28  a. 
Gummere,  J.,  12  b,  53  b. 
Gumpach,  J,  v.,  39  a. 

Gunnery,  66  a. 

Gunter,  E.,  12  b,  17  a. 

Gurley,  L.  E.,  81  a. 

Gurley,  W.,  81  a. 

Gurlitt,  J.,  5 a. 

Giitzlaff,  K.,  79  a. 

Guy,  J.,  30  b. 

Guyot, , 17  b. 

Guyot,  J.,  71  a. 


H 


ACHETTE,  J.  N.  P.,  52 


Hackley,  C.  W.,  24  b,  47  b. 
Haddon,  J.,  10  b. 

Hagen,  G.,  42  a. 

Hahnemann, , 63  b. 

Hales,  W.,  36  a. 

Halifax,  J.  de,  34  b. 

Hall,  A.,  31  b,  33  b,  34  b. 
Hall,  T.  G.,  36  a. 

Haller  von  Hallerstein,  F.  v. 
20  b. 


a. 


Halley,  E.,  12  a. 
Halliwell-Phillipps,  J.  O.,  17  b. 
Halphen,  G.,  38  b. 

Hamilton,  H.  P.,  54  b. 

Hamilton,  W.  R.,  59  a,  63  b. 
Hamley,  E.  B.,  66  b. 

Hankel,  IL,  59  a. 

Hann,  J.,  10  b,  50  a,  80  a b. 
Hansen,  P.  A.,  33  b. 

Harkness,  W.,  7 b,  31  b,  32  a, 

59 

Harmonic  Division,  51  b. 
Harnischmacher,  F.  J.,  58  b. 
Harprecht,  A.,  22  b. 

Harris,  J.,  21  1). 

Harris,  W.  S.,  69  b,  70  b. 
Harrison,  B.  F.,  65  a. 

Hartwich,  E.,  43  a. 

Harvard  college — Observatory, 

32  33 

Hassler,  F.  R.,  12  b,  29  b,  47  b, 
54  a,  79  a. 

Haton  de  la  Goupilli^re,  J.  N,, 

60  b. 

Haughton,  S-.,  63  a. 

Haupt,  H.,  41  a. 

Hausmann,  F.  K.,  56  b. 

Hayes,  J.  L.,  60  b. 


Heat,  74  b. 

Heat  Tables,  12  a. 

Heather,  J.  F.,  8 a,  52  a. 

Hehl,  J.,  63  b. 

Heilbronner,  J.  C.,  5 a. 

Heinen,  F.,  51  b. 

Heis, , 65  b. 

Heliodorus  Lai'issmis,  14  b. 
Helmholtz,  H.  L.  F.,  68  a b. 
Helvig,  H.,  66  b. 

Hemming,  G.  W.,  36  b. 
Hempfing,  J.  C,  39  a. 

Henkle,  W.  -D.,  25  b. 

Henry,  J.,  68  b,  69  b. 

Herapath,  J.,  46  b,  47  a. 
Heretical  Literature,  21  b. 

Herling, , 34  b. 

Hermes,  E.  S.  T.  O.,  47  b,  57  a. 
Plerschel,  J.  F.  W.,  31  a,  45  b, 
68  a. 

Herzberg,  R.,  38  a. 

Heydenreich,  F.  F.,  79  a. 

Higgs,  P.,  69  b. 

Highton,  E.,  72  b. 

Hildenbrand,  W.,  41  a. 

Hill,  G.  W.,  12  a. 

Hill,  T.,  47  b. 

Hincke,  J.,  24  b. 

Hind,  J.,  24  b. 

Hind,  J.  R.,  34  a. 

Hindenburg,  K.  F.,  67  a,  77  b. 
Hinkley,  E.,  ii  b. 

Hipler,  F.,  6 b. 

Him,  G.  A.,  33  b,  42  a. 

Hirsch,  M.,  10  b,  12  a,  24  b. 
Hirschvogel,  A.,  47  b. 

History,  4 b,  81  a. 

History  of  the  Telegraph,  72  a. 
Hittorf,  W.,  70  a. 

Hoche,  M.,  64  a. 

Hoche,  R.,  63  b., 

Hodder,  J.,  29  b. 

Hoene  de  Wronski,  J.,  22  b. 
Hoffmann,  L.,  4 a. 

Hofmann,  F.,  80  li. 

Hohr,  D.,  10  b. 

Holden,  E.  S.,  3 a,  7 b,  31  a, 

34 

Hollander,  D.  d’,  35  b. 

Holybush,  J.  de,  34  b. 

Holy  wood,  J.  de,  34  b. 

Home.  R.,  66  b. 

Honigmann,  J.,  76  b. 

Hoogeven,  T.,  64  b. 

Hopkins,  \V.,  79  a. 

Hoppe,  E.  R.  E.,  37  b. 
Horology,  59  a. 

Horrebow,  1'.,  17  b. 

Horstmann,  W.  11.,  71  a. 
Hoskioer,  V.,  71  a. 

Houel,  G.  L.,  51  a. 

Hoiiel,  J.,  II  b,  12  b,  33  b,  39  a. 
Howison,  G.  H.,  49  b. 

Hubbard,  G.  G.,  73  a. 

Huberdt,  A.,  49  a. 

Hudson  observatory,  33  a. 
Hughes,  S.,  43  b. 

Hulsen,  M.,  51  b,  55  b. 
Hiilsmann,  H.,  54  b. 

Humber,  W.,  40  b,  41  a. 
Humphreys,  A.  A.,  42  a. 
Hunyady,  E.  v.,  55  b. 

Hutt,  W.  W.,  10  a. 


87 

Hutton,  C.,  4 a,  12  b,  17  b,  20  b, 

53  a. 

Huyghens,  C.,  17  b. 

Hyde,  E.  W.,  41  a. 

Hydraulic  Engineering,  29  b. 
Hydraulic  Motors,  29  b. 
Hydrodynamics,  64  a. 
Hydrography,  54  a. 

Hydrostatics,  64  a. 

Hymers,  J.,  26  b,  38  a b,  51  a, 

54  h 79  a. 

Hyperbolic  Functions,  46  a. 
Hypsometry,  Tables  in,  13  a. 

TAMBLICHUS  Chalcidensis, 

1 14  b. 

Ibach,  F.,  49  a. 

Ideler,  C.  L.,  6 b. 

Ideler,  J.  L.,  65  b. 

Imaginaries,  59  a. 
Instruments,  7 a,  81  a. 
Insurance,  27  b. 

Integrals,  Definite,  38  a. 
Interest,  27  b. 

Isherwood,  B.  F.,  44  a. 

JACKSON,  I.  W.,  62  a. 

Jackson,  J.,  68  a. 

Jackson,  J.  S.,  10  a. 

Jacob,  A.,  40  b,  43  b. 

Jacobi,  A.,  77  b. 

Jacobi,  C.  F.  A.,  47  b,  57  a,  58  a. 
Jacobi,  K.  G.  J.,  17  b,  27  b. 
Jacqmin,  F.,  44  a. 

Jacquier,  E.,  22  b. 

Jacquier,  F.,  38  a. 

Jakobi,  J.  T.  M.,  56  a. 

Jameson,  F.  J.,  10  a. 

Jamin,  J.  C.,  68  a. 

Janisch,  O.  K.  F.,  56  b,  58  b. 
Jiinsch,  E.  R.,  51  b. 

Jean,  A.,  29  b. 

Jellett,  J.  H.,  74  b. 

Jenkin,  F.,  69  b,  70  a. 

Jerrard,  G.  B.,  26  b. 

Jess,  Z.,  53  b. 

Joachimslhal,  F.,  38  a,  47  b,  49  b, 
50  a,  58  a. 

Joanet,  J.,  47  b. 

Job,  , 27  a. 

Johnson,  L.,  29  b. 

Jolly,  P.  G.,  46  a. 

Jones,  C.  A.,  10  b. 

Jones,  U.,  28  a. 

Jones,  G.  W.,  79  b. 

Jones,  J.,  23  b,  28  a. 

Jones,  T.,  35  b. 

Jon([uieres,  E.  de.,  51  b. 

Jordan,  C.,  26  b. 

Journal  de  mathdmatiques,  8 b. 
Journal  des  mines,  81  b. 

Journal  des  tel^graphes,  8i  b. 
Journal  f.  d.  reine  u.  angew.  Math., 
8 b. 

Jullien,  A.,  52  a. 

Junge,  E.  F.,  6 b. 

Jiirgensen,  C.,  77  b. 

j^AMBLY,  L.,  52  a. 

Kast,  J.  U.,  51  b. 

Kastner,  A.  G.,  5 a,  22  1). 

Kayer,  E.,  79  a. 


68 


INDEX. 


Kelland,  P.,  23  a,  24  b. 

Kelton,  J.  C.,  66  a. 

Kendall,  A.,  73  a. 

Kent^  W.,  45  a. 

Kepler,  J.,  17  b. 

Kiepert,  F.  W.  A.  L.,  56  a. 
Kiessling,  F.  G.,  56  b. 
Kinematics,  64  b. 

Kircher,  A.,  56  b. 

Kirchhoff,  G.,  76  a. 

Klein,  H.,  45  a,  48  a. 

Kletke,  C.  A.,  32  b,  57  a. 
Klingenstierna,  S.,  56  a. 

Klinger,  K,  F.  A.,  59  b. 

Kliigel,  G.  S.,  4 a,  22  b. 

Knoche,  J.  H.,  14  b. 

Knorr,  E.,  35  b. 

Knorre,  V.  C.,  33  a. 

Kohler,  H.  G.,  12  b. 

Kohlrausch,  F.,  45  a. 

Kokides,  D.  K.,  34  b. 

Konen,  H.,  65  a. 

Koniecki, , 69  a. 

Konig,  J.  F.,  65  a. 

Konigl.  sachs.  Teleg.-Linien., 

73  a. 

Kbnigsberger  Archiv.,  9 a. 
Konitzer,  J.  S.,  24  b,  27  a. 
Koppe,  C,  23  a. 

Koppe,  C.  F.  A.,  80  a. 

Korneck,  G.,  54  b. 

Krause, , 51  b. 

Kribben,  J.  J.,  23  b,  79  a. 

Kries,  F.  C.,  ii  a. 

Kroll, , 50  a. 

Krumme,  W.,  76  a. 

Kruse, , 46  a. 

Kuckuck,  A.,  76  a. 

Kiihnert,  E.  H.,  70  a. 

Kiilp,  E.  J.,  56  a. 

Kummer,  E.  E.,  78  b. 

Kupffer,  A.  T.,  39  a. 

Kurz,  J.  D.,  42  b. 

j^ABOULAYE,  C.  P.  L.,  60  b. 

La  Condamine,  C.  M.  de.,  32  a. 
Lacroix,  S.  F.,  23  a,  24  b,  29  b, 

36  b,  45  b,  48  a,  52  a,  76  b, 

79  a. 

Ladrasch,  R.,  55  b. 

Lagrange,  J.  L.  de.,  18  a,  27  a, 

37  b,  62  a. 

Laisant, , 59  a. 

Laisant,  C.  A.,  46  a. 

La  Lande,  J.  le  F.  de.,  12  b. 
Lampe,  E.,  63  b. 

Lainy,  B.,  20  b,  62  a. 

Landen,  J.,  18  b,  36  b,  77  a. 
I^angdon,  W.  E.,  43  a. 

Langley,  B.,  53  a. 

Lankeren  Matthes,  D.  v.,  57  a. 
Lanzac,  A.,  80  b. 

Laplace,  P.  S.  de.,  18  b,  26  a, 

31  b,  62  a,  76  b. 

Lardner,  D.,  36  b,  44  a,  50  b, 

68  a,  71  a,  79  b. 

I>a  Rive,  A.  de.,  69  b. 

Katham,  B.,  43  b. 

Latitude,  59  b. 
l.augel,  A.,  75  a. 

Laurencin,  P.,  69  b. 

J.aw,  IL,  39  b,  43  b. 

J^awrence,  C.  I).,  24  b. 


Least  Squares,  77  a. 

Le  Cointe,  I.  L.  A.,  lO  a,  79  b. 
Le  Conte,  J.,  75  b. 

Ledoux,  C.,  60  b. 

Lee,  C.,  29  b. 

Lee,  T.  J.,  53  b. 

Leeds  correspondent,  9 a., 

Lees,  W.,  68  a. 

Lefebure  de  Fourcy,  L.  E.  L., 

24  b,  49  b,  79  b. 

Legendre,  A.  M.,  38  a,  46  a,  48  a. 
Leibbrand,  M.,  63  a. 

Leibnitz,  G.  W.  v.,  18  b,  57  b. 
Leipziger  Magazin  f.  Math.,  9 a. 
Leitch,  J.  M.  73  a. 

Leitzmann, , 64  a. 

Lejeune  Dirichlet,  P.  G.,  78  b. 
Leroy,  C.  F.  A.,  51  a,  52  a b. 

Le  Seur,  T.,  38  a. 

Leslie,  J.,  5 a,  29  b,  49  a. 
Lesseps,  F.  de,  41  b. 

Lessing,  . , 76  b. 

Leurchon,  J.,  18  b. 

Leuzinger, , 49  a. 

Levi-Alvares,  D.,  68  a. 

Lewis,  G.  C.,  6 b. 

Ley,  J.  F.,  26  b,  46  a. 

Leybourn,  T.,  10  a. 

Leybourn,  W.,  53  b,  58  b. 
L’Hospital,  G.  F.  A.  de,  54  b, 
55  b. 

L’Huillier,  S.  A.  J.,  36  b. 
Libri-Carrucci  d.  Sommaia,  G.  B. 


I.  r.,  3 a,  5 a. 

Lie,  S.,  38  b. 

Light,  Velocity  of,  76  a. 
Lighthouses,  42  a. 

Lintern,  W.,  54  a. 

Lionnet,  E.,  26  a. 

Literal  Equations,  27  a. 
Lockyer,  J.  N.,  31  a,  76  a. 
Locomotive  Engines,  44  b. 
Loffelholz-Colberg,  F.  v.,  3 a. 
Logarithmic  Tables,  12  a. 
Logarithms,  60  a. 

Lo-Looz,  R.  de,  66  a. 


Lommel,  E.,  75  b,  76  a. 
Lonchampt,  A,,  10  a. 

London,  Edinb.,  & Dublin  phil. 


mag.,  9 a. 

Longitude,  59  b. 
Longomontanus,  C.  S.,  57  b. 
Loof, , 60  a. 

Loomis,  E.,  6 b,  12  b,  24  b,  29  b, 
33  b,  34  b,  48  a,  50  b,  65  b, 
68  a,  79  b. 

Loomis,  F.  E.,  35  a,  45  a,  65  a. 
Lorberg,  II.,  69  b. 

Lorek,  E.  F.,  31  b. 

Lorenz,  J.  F.,  20  b. 

Lorgna,  A.  M.,  77  b. 

Loring,  A.  E.,  71  a. 

Lotz, , 56  b. 

Lotz,  J.  F.,  46  a. 

Lotze,  II.,  78  a. 

Lovering,  J,,  76  a. 

Lubbock,  J.  W.,  32  b,  76  b. 
Liibsen,  H.  B.,  48  a. 

Luchini  da  Pesaro,  D.,  39  b. 
Luchlerhandt,  A.  R.,  58  a. 

Liickcn,  , 55  a. 

Lufllarn,  W.,  20  b. 

Liidtge,  R.,  69  b. 

Lumi^re  ^lectrique  (La),  81  b. 


Lurtz,  F.  E.,  13  a. 

Lyman,  E.,  44  a. 

lyjC  ALPINE,  W.  J.,  39  b. 

Mac  Cord,  C.  W.,  44  a. 
McCulloch,  R.  S.,  75  a. 
Machinery,  60  b. 

M’Intire,  J.,  31  a. 

Mackay,  A.,  7 b,  ii  a,  59  b.  ^ 
Mackenzie,  C.  F.,  10  a. 

Maclaurin,  C.,  24  b,  25  a,  36  b, 
62  a. 

McMaster,  J.  B.,  41  a,  42  a. 
Maerker,  F.  J.,  64  b. 

Magnetic  telegraph  co.,  73  a. 
Magnetism,  69  a,  70  b. 

Malcolm,  A.,  30  a. 

Malkin,  B.  H.,  31  a. 

Mallet,  A.,  44  a. 

Malortide  Martemont,  C.  S.,  66  b. 
Malton,  T.,  48  a. 

Manilius,  M.,  31  a. 

Mansfield,  J.,  18  b. 

Mansion,  P.,  38  b,  39  a. 

Marbach,  H.,  39  a. 

Marcet,  J.  H.,  68  a. 

Marcker, , 46  b. 

Marcoz,  J.  B.  P.,  34  a. 

Marey,  E.  J.,  63  a. 

Marie,  M.,  48  a. 

Marine  Engines,  45  a. 

Marolois,  S.,  i8  b,  52  b. 

Marqfoy,  G.,  43  a,  72  b. 

Marten,  E.  B.,  44  b. 

Martin,  B.,  62  a. 

Martine,  G.,  8 a. 

Martinez  de  Lizarraga,  P.  J.,  30  a 
Maseres,  F.,  26  b,  27  a,  60  a,  67  a. 
Mass. — Board  of  R.  R.  com.,  43  a. 
Mass. — Conun.  on  Iloosac  tunnel, 
45  b. 

Mass. — Comm,  on  T roy  Cf  Green- 
field R.  R.,  45  b. 
Mathematical  diary,  9 a. 
Mathematical  exam,  papers,  10  a. 
Mathematical  magazine,  9 a. 
Mathematical  miscellany,  9 a. 
Mathematical  monthly,  9 a. 
Mathematical  repository,  9 a.  • 
Mathematical  sciences  (The), 

20  b. 

Mathematical  visitor,  9 a. 
Mathematician  (The),  9 a. 
Mathematics,  23  a. 

Mathematische  Annalen,  9 a. 
Mathematisk  Tidsskrift,  9 a. 
Matthes,  K.  J.,  23  b,  56  b. 
Matthiessen,  H.  F.  L.,  64  a. 
Maur,  A.,  51  b. 

Maurolico,  F.,  18  b,  30  a. 
Maxima,  61  a. 

Maxwell,  J.  C.,  68  a,  69  b,  74  b. 
Mayer,  A.  M.,  68  a. 

Mayer,  J.  T.,  36  b,  53  a. 
Mayer-D’Almbert,  M.,  24  a. 
Mayhew,  I.,  35  b. 

Maynz,  A.,  78  a. 

Mayr,  A.,  51  a. 

Measures,  80  b. 

Mechanical  Engineering,  42  b 
Mechanics,  61  b,  81  b. 
Mechanics,  Animal,  63  a. 
Mechanics,  Applied,  63  a. 


INDEX. 


89 


Mechanics,  Celestial,  31  b. 
Mechanics,  Problems  in,  1 1 a. 
Meibauer,  R.  O.,  35  b,  76  b. 
Meier,  J.,  32  b. 

Melde,  F.,  63  b. 

Mensing,  J.  G.  W.,  50  b. 
Mensuration,  53  a. 

Merian,  J.  R.,  64  a. 

Merrill,  W.  E.,  41  a. 

Merriman,  M.,  41  a. 

Mersenne,  M.,  66  a. 
Meteorology,  65  a. 

Aleteorology,  Tables  in,  13  a. 
Method  of  Mathematics,  22  a. 
Metius,  A.,  21  a,  53  a. 

Meyer,  A.,  38  a. 

Meyer,  C.  F.,  56  b,  58  a,  78  b. 
Meyer,  G.  F.,  38  a. 

Meyer,  J.  T.,  46  b. 

Michaelis,  G.,  76  b. 

Michaelis,  W.  J.  H.,  58  b. 
Michelson,  A.  A.,  76  a. 

Miege,  B.,  71  b. 

Military  Art  and  Science, 

66  a. 

Military  Engineering,  66  a. 
Millar,  W.  J.,  39  b. 

Miller,  W.  H.,  64  b. 

Minifie,  W.,  53  a. 

Minima,  61  a. 

Mink,  W.,  58  b. 

Minto,  W.,  5 a. 

Miscellaneous  Applications, 
21  b. 

Mobius,  A.  F.,  32  a,  51  b. 
Mohammed  ben  Musa  al-Khowar- 
ezmi,  14  b. 

Moigno,  F.  N.  M.,  36  b,  38  a b, 
73  a. 

Moivre,  A.  de,  76  b. 

Mollmann,  B.,  46  b,  57  a. 
Monaghan,  R.  E.,  71  b. 

Money,  80  b. 

Monge,  G.,  52  a b,  65  a. 
Monteregio,  J.,  58  b. 

Montferrier,  A.  S.  de,  4 b. 
Montmort,  P.  R.  de,  76  b. 
Montucla,  J.  E.,  5 b,  57  b. 

Moon,  32  b. 

Moore,  J.,  21  a. 

Moore,  R.,  4 b. 

Moore,  W.,  66  b. 

Morgan,  H.  A.,  10  a. 

Morison,  G.,  40  b. 

Morrieson,  N.,  54  a. 

Morris,  E,,  54  a, 

Morse,  S.  F.  B.,  71  b,  73  a,  74  a. 
Morton,  1\,  48  a. 

Moseley,  H.,  40  a,  56  b. 

Most,  , 69  b. 

Moxon,  J.,  4 b,  31  a. 

Mulcahy,  J.,  51  b. 

Muller, , 54  1),  56  a. 

Muller,  A.,  26  b,  30  a. 

Miiller,  C.  R.,  56  b. 

Muller,  F.  II.,  78  a. 

Muller,  F.  M.,  6 b. 

Muller,  II.  F.,  46  b. 

Muller,  J.,  21  a. 

Muller,  J.  II.  T.,  57  a,  58  b. 
Multiple  Algebra,  59  a. 
Murhard,  F.  \V.  A.,  3 a. 

Murphy,  R.,  26  b. 

Murray,  D.-,  54  a. 


Muttrich,  J.  A.,  68  b. 

I^AHUYS,  G.  J.,  60  b. 

Napier,  J.,  60  b. 

Narrien,  J.,  50  a. 

Natani,  L.,  36  b,  38  b. 

National  teleg.  review,  81  b. 
National  teleg.  union,  73  a. 
Nauck,  F.,  80  b. 

Nautical  almanac  (Amer.),  ii  b, 

34  b. 

Nautical  almanac  (Brit.),  12  a. 
Nautical  hstruments,  8 a. 
Navarrete,  M.  F.,  5 b. 

Navier,  C.  L.  M.  H.,  36  b. 
Navigation,  66  b. 

Navigation  Tables,  13  a. 

Nebulce,  32  b. 

Neper,  J.,  60  b. . 

Netto,  E.,  46  b. 

Neumann,  C.,  46  a b. 

New  England  teleg.  co.,  73  a. 
New  South  Wales — Sup'' t of  teleg., 
73  b. 

New  York  {City) — Croton  aque- 
duct  dep't,  40  b. 

New  York  {City) — Dep'^  of  parks, 
65  b. 

New  York  {State)  — State  engi- 
neer, 41  b,  43  a. 

New  York  {State) — University, 
65  b. 

New  York  & Boston  teleg.  assoc., 
73  b. 

Newcomb,  S.,  31  a,  32  a b,  33  a, 

35  a,  59  b. 

Newman,  , 73  b. 

Newman,  F.  W.,  48  a. 

Newton,  I.,  5 b,  18  b,  19  a,  21  b, 
25  a,  36  b,  55  1),  62  a,  75  b. 
Newton’s  philosophiska  systeme, 
62  1). 

Neydecker,  , 54  b. 

Nichol,  J.  P.,  4 b,  35  a. 
Nicholson,  P.,  19  a,  27  a,  53  a. 
Nicomachus  Gerasenus,  15  a. 
Niegemann,  A.,  58  b. 

Noad,  II.  M.,  69  1). 

Nollet,  J.  A.,  69  h. 

North  Amer.  teleg.  assoc.,  73  b. 
Northumbrian  mirror,  9 a. 
Norton,  W.  A.,  31  a. 

Notices  of  the  telegraph,  73  b. 
Nourse,  J.  E.,  33  a. 

Nouv.  annales  de  mathem.,  9 a. 
Nugent,  E.,  75  b. 

Numerical  Equations,  27  a. 

QBSERVATORIE.S,  32  b. 

Observer,  pseud.,  6 b. 
Occultations,  32  a. 

Oettinger,  L.,  45  b. 

Ofterdinger,  L.  F.,  5 b,  57  a. 
Ohio — Com.  of  railroads  and 
teleg. , 43  a. 

Ohm,  M.,  50  b. 

Oliver,  J.  E.,  51  a,  79  b. 

Olivier,  1'.,  52  a. 

Olney,  E.,  25  a,  48  a,  50  a,  79  b. 
Optics,  75  b. 

Orbits  {Computation  of),  33  a. 
Orchard,  W.,  28  a. 


O’Reilly,  H.,  73  a b. 
Organization  {Military),  66  b. 
Orlebar,  A.  B.,  21  a. 

Orton,  W.,  73  b. 

Ottemann,  55  a,  58  a. 
Oughtred,  W.,  7 b,  27  a,  79  b. 
Our  schoolday  visitor,  9 a. 
Outposts,  66  b. 

Oxford — Univ. — Radcliffe  obs., 
33  a,  35  a. 

Ozanam,  J.,  4 b,  19  a. 


Paczkowski,  I.,  56  b. 

Pagan.  B.  F.  de,  48  a. 

Painvin,  L.,  51  a. 

Palmer,  A.,  30  a. 

Palmieri,  L.,  70  a. 

Paoli,  P.,  25  a.' 

Parallaxes,  33  b. 

Parallel  Lines,  56  b. 

Paris — Conference  teleg.  intern., 

73  b. 

Parke,  U.,  23  a. 

Parker,  J.  A.,  21  b. 

Parkinson,  S.,  62  b,  75  b. 
Parkinson,  T.,  62  b. 

Particle,  Dynarwcs  of  a,  63  b. 
Pascal,  B.,  19  a. 

Paterson,  J.,  59  a. 

Peabody,  S.  II.,  31  a. 

Peacock,  G.,  ii  a,  25  a,  79  b. 
Peck,  W.  C.,  62  b. 

Peck,  W.  G.,  4 a. 

P^clet,  E.,  75  a. 

Peirce,  B.,  12  a,  25  a,  33  b,  36  b, 
48  a,  59  a,  62  b,  68  b,  79  b. 
Peirce,  J.  M.,  12  b,  50  b. 
Pemberton,  II.,  62  b. 

Pendulum,  63  b. 

People’s  teleg.  co.,  73  b. 
Perdonnet,  A.,  43  a. 

Perger,  A.  C.,  56  b. 
Periodicals,  8 a,  81  a. 

Perkins,  G.  R.,  25  a,  30  a,  48  a. 
Permutations,  67  a. 

Perspective,  52  a. 

Perturbations,  33  b. 

Peschke,  , 55  a. 

Peters,  C.  F.  W.,  31  b. 

Peters,  C.  II.  F.,  63  b. 

Petersen,  J.,  ii  a. 

Petr,  T.,  25  a. 

Pettigrew,  J.  B.,  63  a. 

Peuerbach,  G.  v.,  34  a. 

Peyrard,  F.,  7 a. 

Phear,  J.  B.,  64  b. 

Philosophical  essay  on  billiards, 
22  a. 

Philosophy  of  Mathematics, 
22  a. 

Physics,  67  b. 

Physics,  Problems  in,  1 1 a. 

Piani,  1).,  57  b. 

Pickering,  E.  C.,  35  a. 

Pictet,  R.,  81  a. 

Pihl,  ().,  65  a. 

Pike,  N.,  30  a. 

Pilaar,  J.  C.,  67  a. 

Planet  Neptune  ( I'he),  34  a. 
Planets,  33  b. 

Planudes,  Maximus,  15  a. 

Platts,  J.,  10  b. 


90 


INDEX. 


Plauzoles,  C.  de,  12  b. 

Playfair,  J.,  5 b,  19  a,  48  b. 
Plummer,  j.  L,  31  a. 

Plurality  of  Worlds,  34  a. 
Pneumatics,  64  b,  81  b. 

Pochet,  L.,  44  a. 

PoggendorfF,  j.  C.,  3 a. 

Poinsot,  L.,  64  b,  65  a,  78  b. 
Poisson,  S.  D.,  62  b,  75  a. 
Polyedrons,  57  a. 

Polygons,  57  a. 

Poncelet,  J.  V.,  50  a,  51  b. 
Pontecoulant,  P.  G.  D.  de,  31  b. 
Poor,  H.  V.,  43  a. 

Porter,  C,  T.,  44  a. 

Poselger,  F.  J.,»78  b. 

Potter,  R.,  75  b. 

Pouillet,  C.  S.  M.  M.  R.,  68  a. 
Practical  Geometry,  52  b. 
Praetorius,  I.,  64  a. 

Prasse,  M.  v.,  56  a. 

Preece,  W.  H.,  71  b. 

Prescott,  G.  B.,  71  b. 

Prestel,  M.  A.  F.,  55  a. 

Price,  B.,  36  b. 

Price,  R.,  28  a. 

Prideaux,  T.  S.,  44  b. 

Pritchett,  IL  S.,  59  b. 

Privat  Deschanel,  A.,  68  b. 
Probabilities,  76  b. 

Problemata  arithmetica,  10  b. 
Problems,  9 b,  81  b. 

Proclus,  15  a. 

Proctor,  R.  A.,  31  a,  34  a,  35  ab. 
Progress,  Peter,  73  b. 

Projectiles,  66  a. 

Projection,  53  a. 

Prowe,  L.  F.,  6 b. 

Ptolemaeus,  Claudius,  15  a. 
Puckle,  G.  H.,  55  a. 

Puissant,  L.,  50  a b,  54  a. 
Pujazon,  C.,  7 b. 

Purbach,  G.  v.,  34  a. 

Putiatycki,  , 78  a. 

Pyne,  G.,  52  b. 

QUACKENBOS,  G.  P.,  30  a, 
68  b. 

Quadratics,  26  b. 

Quadrature  of  the  Circle,  21  b, 

57  b. 

Qualities,  77  a. 

Quapp,  A.,  58  a. 

Quarterly  journ,  of  math.,  9 b. 
Quaternions,  59  a. 

Quetelet,  L.  A.  J.,  5 b,  76  b. 
Quinby,  I.  IC,  37  a. 

Quincke,  G.  A.,  69  a. 


Rabuel,  C.,  50  a. 

Radan,  R.,  69  a. 

Radcliffc  observatory,  33  a,  35  a. 
Rae,  J.,  43  a. 

Railroad  gazette,  81  b. 

Railroads,  42  b, 

Ramchundra,  61  a. 

Ramus,  C.,  46  a. 

Rankcn,  F.  A.,  41  a. 

Rankine,  W.  J.  M,,  4 b,  22  a, 
40  a,  44  a,  61  a,  63  a. 

Raper,  II.,  67  a. 

Raphson,  j.,  23  a,  26  I . 


Rational  Fractions,  27  b. 
Rauschenbusch,  C.  F.  A.,  37  b. 
Ray,  T.,  10  b,  2";  a,  30  a. 

Record,  R.,  30  a. 

Redtenbacher,  J.  F.,  61  a. 

Reed,  H.  T.,  66  a. 

Refraction,  34  a,  76  a. 
Regiomontanus,  J.,  58  b. 

Reid,  H.,  30  a. 

Reid,  J.  D.,  73  b. 

Reidt, , 10  b. 

Reimnitz, , 56  a. 

Rensselaer  polyt.  inst.,  9 b. 

Renvers, , 80  b. 

Renwick,  J.,  62  b. 

Repertorium  f.  Experimental- 
Physic,  81  b. 

Report  of  banquet  by  Field,  73  b. 
Report  of  dinner  tc  Morse,  73  b. 
Resal,  A.  H.,  31  b,  62  b,  64  b. 
Resistance  of  Materials,  45  a. 
Retainmg  Walls,  43.  b. 

Reuleaux,  F.,  61  a. 

Reynaud,  L.,  42  b. 

Reynolds,  E.  M.,  23  b,  48  b. 
Riccardi,  Pr,  3 b. 

Riccati,  V.,  25  a. 

Richter,  A.,  58  b. 

Riddle,  E.,  59  b. 

Riemann,  C.  F.  B.,  19  a,  46  b. 
Riess,  P.  T.,  70  a. 

Rigaud,  S.  P.,  5 b. 

Rigg,  A.,  44  a. 

Rijke,  P.  L.,  53  a b,  70  a,  76  a. 
Ritchie,  W.,  37  a. 

Ritt,  G.,  50  b 

Ritzefeld,  A.,  51  a,  56  a,  58  a. 
Rivard,  D.  P'.,  12  b. 

Roads,  43  b. 

Robertson,  A.,  55  a. 

Robins,  B.,  23  a. 

Robinson,  H.  N.,  54  a. 
Robinson,  S.  W.,  61  a. 

Roebling,  J.  A.,  41  b. 

Roehr, , 80  a. 

Rogers,  F.,  70  b. 

Rogers,  H.  J.,  71  b,  72  b. 

Rogg,  L,  49  a. 

Rogg.  3 b. 

Rollmann,  W.,  70  a. 

Roos,  J.  D.  C.  de,  61  a. 

Roper,  S.,  40  a,  44  a b. 
Rosenhain,  J.  G.,  46  b. 

Rotation,  64  b. 

Rotherham,  W.,  10  b. 

Rothig,  J.  W.  O.,  46  b,  65  a. 
Rothman,  R.  W.,  6 b. 

Rotrou,  L.  de,  41  b. 

Rottenbach,  II.,  23  a. 

Rouch^,  E.,  48  b. 

Roudolf,  W.,  63  b. 

Routh,  E.  J.,  10  a,  63  b. 

Roux,  P'.  L.,  71  b. 

Rowan,  F.  J.,  44  b. 

Rowlett,  J.,  28  a. 

Ruffini,  P.,  77  a. 

Ruprecht,  , 5 b. 

Russell,  R.  W.,  73  b. 

Ryan,  J.,  25  a,  31  a. 

Rzepecki,  L.  V.  de  B.,  31  b. 
Rziha,  P'.,  45  b. 

gABINE,  R.,  73  b. 


Sacro  Bosco,  J.  de,  34  b. 

Safford,  T.  H.,  35  a. 

Saladini,  G.,  25  a. 

Salmon,  G.,  51  a,  55  a b,  77  a. 
Salusbury,  T.,  19  a. 

San  Francisco — Board  of  Trade 
41  b. 

Sandeman,  A.,  25  b. 

Sands,  B.  F.,  32  a. 

Sanford,  S.  P.,  25  b. 

Sanitary  Engineei'ing,  43  b. 

Sarres, , 55ab. 

Sarrus,  P.  F.,  27  a. 

Satellites,  33  b. 

Saunderson,  N.,  25  b. 

Sauri,  I’abbe,  21  a. 

Schaeffer,  W.,  46  a. 

Scheffler,  A.  C.  W.  H.,  59  a. 
Scheibel,  J.  E.,  3 b. 

Scheibert, , 78  a. 

Scheibner,  W.,  33  b. 

Schell,  A.,  32  a. 

Schell,  W.,  56  b,  58  a. 

Schellbach,  K.  H.,  lO  a,  37  b, 
64  a. 

Schellen,  H.,  71  b,  76  a. 
Schellendorff,  B.  v.,  66  b 
Schenk,  J.,  ii  a. 

Scherling,  C.,  56  b. 

Schimmel,  G.  L.,  26  b. 
Schlomilch,  O.,  25  b,  37  a,  46  a, 

78  a. 

Schmeisser,  J.  C.  F.,  23  a. 
Schmidt,  J.,  10  a. 

Schmidt,  J.  P.,  78  a. 

Schmidt,  K.  C.  G.,  15  a. 
Schnabel,  C.,  25  b,  49  a. 
Schneider,  J.  P.,  32  b. 

Schniirlein,  L.  C.,  78  a. 
Schoenfeld,  E.,  31  b. 

Scholz,  J.,  52  b. 

Schon,  J.  J.,  26  b,  46  a. 
Schondorff,  A.,  61  b. 
Schonemann,  T.,  64  b,  78  b. 
Schooten,,  F.  v.,  19  a,  50  a. 
Schott,  K.,  21  a. 

Schreiber,  , 26  b. 

Schroeder,  P.,  49  a. 

Schroeter,  J.  PL,  34  a. 

Schron,  H.  L.  PL,  12  b. 

Schuberb  E.,  12  a. 

Schultze,  C.,  64  b. 

Schulz  von  Strassnicki,  L.  C.» 
27  a. 

Schumacher,  PI.  C.,  3 b. 
Schumann,  A.,  58  a. 

Schumann,  J.  II.  K.  E.,  70  b. 
Schur,  W.,  35  a. 

Schuyler,  A.,  25  b,  48  b. 

Schwarz,  A.,  78  a. 

Schwarz,  II.,  23  a.  50  b,  78  b. 
Schwarz,  K.  A.  A.,  58  a. 
Schwering,  K.  M.  J.  G.,  51  a. 
Schwilgue,  C.,  59 
Scratchley,  A.,  28  a. 

Sebas,  C.  L.,  23  a. 

S^dillot,  L.  P.  E.  A.,  6 b. 
Seegers,  K.,  46  b. 

Series,  77  a. 

SeiTct,  J.  A.,  25  b,  30  a,  37  a, 

79 

Serret,  P.,  23  b,  48  b,  51  a. 
Sestini,  B.,  25  b,  35  b,  48  b. 
Seymour,  S.,  43  a. 


INDEX. 


91 


Sganzin,  I.,  40  a. 

Shades,  52  a. 

Shadows,  52  a. 

Shaffnei-’s  teleg.  companion,  81  b. 
Shaw,  W.  J.,  66  b. 

Sherwin,  T.,  25  b. 

Shock,  W.  H.,  44  b. 

Shortrede,  R.,  13  a. 

Shreve,  S.  H.,  41  b. 

Shute,  J.  M.,  45  b. 

Shiitte, , 56  a. 

Sidereal  messenger,  9 b. 

Siemens,  W.,  71  b, 

Silliman,  B.  jr.,  68  b. 

Simms,  F.  W.,  54  a. 

Simon,  E.  O.  A.,  38  b,  58  a. 
Simon,  M.,  55  a. 

Simons,  G.,  75  a. 

Simson,  R.,  55  a. 

Simpson,  T.,  19  a,  25  b,  37  a, 

48  »b. 

Sluse,  R.  F.  de,  ii  a. 

Smiles,  S.,  7 a. 

Smith,  A.  W.,  62  b. 

Smith,  Barnard,  30  a. 

Smith,  F.  H.,  52  a. 

Smith,  F.  O.  J.,  73  a b,  74  a. 
Smith,  J.  E.,  71  b. 

Smith,  J.  H.,  25  b. 

Smith,  James,  21  b. 

Smith,  R.  A.,  65  b. 

Smith,  Seba,  48  b. 

Smithsonian  inst.,  32  a. 

Snowball,  J.  C.,  62  b,  79  b, 

80  a b. 

Society  of  engineers,  81  b. 
Sohncke,  L.,  38  b. 

Sohncke,  L.  A.,  ii  a. 

Solar  System,  34  a. 

Somerset,  E.  A.  St.  M.,  55  a. 
Sonnet,  II.,  4 b,  10  b. 

Sop  with,  T.,  53  b. 

Spangenburg,  L.,  45  a. 

Spare,  J.,  37  b. 

Spectrum  Analysis,  76  a. 
Speidell,  J.,  ii  a. 

Sperling,  J.,  79  b. 

Sperling,  J.  G.  A.,  59  b,  61  b. 
Spheres,  57  b. 

Spieker,  55  a. 

Spiller,  W.  H.,  25  b. 

Spirals,  56  b. 

Spoil,  E.,  4 a b. 

Sporer,  G.  F.  W.,  35  b. 

Stade, , 79  b. 

Stahl,  A.  W.,  61  a. 

Stanley,  A.  D.,  13  a,  48  b. 

Stars,  34  b. 

Statics,  64  b. 

Steam  and  Steam  Engine,  43  b. 
Stebbins,  J.  H.,  70  a. 

Steblecki,  A.,  70  b. 

Steele,  J.  I).,  31  a,  68  b. 

Steele,  W.  64  a. 

Steen,  A.,  23  a. 

Steenstra,  P.,  66  b. 

Stegmann,  F.  L.,  57  b. 

Steiner,  J.,  51  b. 

Stephensen,  O.,  30  a. 

Stereotomy,  52  b. 

Stevens,  B.,  30  a. 

Stevenson,  D.,  41  b. 

Stevin,  S.,  19  b. 

Stewart,  B.,  74  b,  75  a. 


Stoddard,  J.  F.,  25  b. 

Stoltzenburg, , 27  b. 

Stoltzing, , 67  a. 

Stone,  J.  B.,  70  b. 

Stoney,  B.  B.,  41  b. 

Straith,  H.,  66  a. 

Strategy,  66  b. 

Strehlke,  F.,  65  b. 

Strettgth  of  Alaterials,  45  a. 

Strong,  M.,  23  a. 

Strong,  T.,  25  b,  37  a. 

Stuart,  C.  B.,  7 a. 

Sturm,  T.  C.  F.,  27  b,  37  a,  62  b. 
Sturm,  R.,  58  a. 

Suerman,  A.  K.  W.,  75  a. 

Sjin,  35  b. 

Suifaces  {higher  or  general),  57  b. 
Surfaces  of  the  id  Order,  50  b. 
Surveying,  53  a. 

Sutton,  R.,  74  a. 

Svanberg,  A.  F.,  70  a. 

Swaim,  J.,  71  a. 

Swart,  W.  S.,  75  a. 

Symmetric  Functions,  46  a. 
Systems  of  Equations,  27  b. 

Szenic,  S.,  51  a. 

q^ABER,  C.  A.  M.,  65  b. 

Tables,  ii  b. 

Tables  of  stars,  12  a. 

Tacquet,  A.,  19  b. 

Tactics,  66  b. 

Tagert, , 46  b. 

Tait,  P.  G.,  59  b,  64  a,  68  b. 
Tangencies,  58  a. 

Tappan,  E.  T.,  48  b.  , 

Tarn,  E.  W.,  53  a. 

Tarnier,  £.  A.,  53  a. 

Tartaglia,  N.,  30  a,  66  b. 

Tate,  J.  S.,  43  b. 

Taylor,  B.,  37  a,  52  b. 

Taylor,  C.,  52  b,  55  a. 

Taylor,  T.,  78  b. 

Taylor,  W.  B.,  5 b,  74  a. 

Tefft,  T.  A.,  74  a. 

Telegraph,  70  b. 

Telegraph,  History  of,  72  a. 
Telegraph  Service,  72  a. 

Tellurian  mfg.  co.,  32  b. 

Temme,  A.  J.,  56  a. 

Tenner,  G.  \V.,  78  b. 

Thacher,  G.  II.,  6 b. 

Theodosius,  15  a. 

Theory  of  Numbers,  78  a. 
Thermodynamics,  75  a. 
Thermometer,  8 a. 

Thiele,  J.  C.  G.,  23  a. 

Thoman,  F.,  13  a,  28  a. 

Thomson,  J.,  37  a. 

Thomson,  J.  B.,  30  b. 

Thomson,  W.,  68  b,  70  a. 
Thurston,  R.  1 1.,  44  a. 

I'ides,  35  b. 

Tidsskrift  for  Mathem.,.  9 b. 

Tiele,  B.,  31  b. 

Tielemans,  K.,  56  a. 

Tietz,  J.,  65  a. 

Tillich,  , 23  a. 

Timmermans,  J.  A.,  62  b. 
Tobisch,  J.  K.,  56  a. 

Todhunter,  1.,  7 a,  25  b,  26  b, 
37  b,  38  a b,  46  a,  50  b,  51  a, 
65  a,  77  a,  79  1),  80  a b. 


Tomlinson,  C.,  64  b. 
I'opographical  Drawing,  54  a. 
Torelli,  G.,  48  b. 

Total  eclipse  of  i860,  32  a. 
Tower,  I).  B.,  26  a. 

Townsend,  R.,  51  b. 

Tracy,  C.,  30  b. 

Transits,  33  b. 

Trautwine,  J.  C.,  40  a,  43  a,  54  a. 
Tredgold,  T.,  44  b. 

Tresca,  H.,  52  a. 

Triangles,  58  a. 

Trigono7netrical  Problems,  II  b, 
81  b. 

Trigonometry,  78  b. 

Trigonometry,  Plane,  80  a. 
Trigotiofuetiy,  Sphei'ical,  80  b. 
Trinity  college — Observatory, 

33  a. 

Trousdale,  L.,  74  a. 

Trowbridge,  D.,  35  b. 
Trowbridge,  W.  P.,  42  a. 
Trusses,  40  b. 

Tiuinels,  45  b. 

Turnbull,  A.  H.,  28  b. 

Turnbull,  J.,  44  b. 

Turnbull,  W.,  40  b. 

Tuxen,  S.  L.,  67  a. 

Twilt,  A.,  26  a. 

Twysden,  J.,  ii  a,  39  b. 

Tyndall,  J.,  70  b,  75  a. 

IJHDOLPH,  J.,30  b. 

Uhland,  W.  IL,  61  a. 

Ullbrich, , 55  b. 

Undulation,  63  b. 

Ungerer,  T.  R.,  71  b. 

U.  S. — Army,  65  b. 

U.  S. — Bureau  of  tiavigation, 
70  b. 

U.  S. — Chief  of  engineers,  40  a. 
U.  S. — Coast  survey,  54  a,  65  b. 
U.  S. — Engineer  dept.,  3 b. 

U.  S. — House  of  rep.,  74  a. 

U.  S. — Light  house  hoard,  42  b. 
U.  S.  naval  observatory,  33  a. 

U.  S. — Patent  office,  65  b. 

U.  S. — Signal  service,  65  b. 
Uses  of  Mathematics,  22  a. 
Uth,  C.,  58  a. 

Uylenbroek,  P.  J.,  7 b,  46  a. 


Yacquant, 


C.,  52  a. 


Vail,  A.,  71  b,  72  a,  73  a. 
Valentiner,  C.  W.  F.  J.,  32  a. 
ValRs,  F.,  59  b. 

Valson,  C.  A.,  5 b. 

Van  Amringe,  W.  F.,  75  a. 

Van  Buren,  J.  1).,  jr.  45  a. 

Van  Nostrand’s  eng.  mag.,  81  b. 
Varignon,  P.,  37  a. 

Varley,  C.  F.,  70  a. 

Vega,  G.  V.,  13  a. 

Venn,  J.,  77  a. 

Venturoli,  G.,  62  b,  63  a. 
Verdam,  G.  J.,  42  a.  57  60  a, 

Venlet,  £.,  19  b. 

Verdy  du  Vernois,  I.  v.,  66  a. 
Veiliulst,  P.  F.,  46  b. 
Verzeichniss  der  Sterne,  35  a. 
Viallet,  G.,  39  b. 

ViaiU,  J.,  30  a. 


92 


INDEX. 


Vieille,  J.  M.  L.,  26  a. 

Vieta,  F.,  19  b. 

Vince,  S.,  37  a,  64  b. 

Vinchent,  J.,  74  a. 

Vision,  75  b. 

Viviani,  V.,  49  a,  61  b. 

Voigt, , 63  b. 

Vollhering, , 64  a. 

Vorsselman  de  Heer,  P.  O.  C., 

57  b. 

Vose,  G.  L.,  26  a,  43  a. 

Vossius,  G.  J.,  5 b. 


w 


ACHTER,  F.  L.,  34  a. 


Wackernagel,  P.,  57  a. 

Wagner,  G.,  81  a. 

Wahl,  F.  W.  L.,  57  a,  80  b. 
Wainwright,  W.  P.,  63  a. 

Wait,  L.  A.,  79  b. 

Wal,  H.  de,  75  a. 

Waldaestel,  H.,  55  b. 

Walker,  C.  V.,  72  a. 

Walker,  G.,  55  a,  57  b. 

Walker,  J.,  23  a. 

Walker,  S.  C. , 34  a. 

Walker,  W.  F.,  30  b. 

Wall,  J.  V.  der,  67  a. 

Wallis,  J.,  19  b,  26  a. 

Walton,  W.,  9 b,  10  a,  II  a,  51  a. 
Ward,  J.,  21  a. 

Ware,  S.,  41  b. 

Waring,  E.,  26  a,  37  a,  55  b. 
Warner,  J. , 40  a,  54  a. 

Warren,  S.  E.,  ii  a,  52  b. 
Wartmann,  E.,  72  a. 

Washington  and  N«  O.  teleg.  co., 
74  a. 

Water  Supply,  40  a. 

Watson,  H.  W.,  10  a,  69  a. 
Watson,  J.  C.,  34  b. 

Watts,  L,  31  a. 

Waud,  S.  W.,  50  a. 

Wave  Theory,  76  a. 

Webber,  S.,  21  a,  61  a. 

Webster,  T.,  64  b. 

Wedgwood,  H.,  23  b. 


Weidenmiiller,  C.,  56  a. 

Weights  and  Measures,  80  b. 
Weinhold,  A.  F.,  68  b. 

Weirauch,  K.,  78  b. 

Weisbach,  J.,  40  a. 

Weiss,  J.  J.,  72  a. 

Weissenborn,  C.,  27  b. 

Welcker,  W.  T.,  26  a. 

Wellington,  A.  M.,  40  a,  54  a. 
Wells,  D.  A.,  68  b. 

Wells,  E.,  21  a,  48  b. 
Wenckebach,  W.,  41  b. 

Western  union  teleg.  co.,  74  a. 
Westphal,  J.  H.,  7 a. 

Wex,  G.,  42  a. 

Weyland,  j.,  55  a. 

Weyrauch,  J.  J.,  45  b. 
Wheatstone,  C.,  74  b. 

Wheeler,  J.  B.,  40  a,  66  a. 
Whewell,  W.,  23  a,  34  a,  37  b, 
56  a,  62  b,  63  b. 

Whipple,  S.,  41  b. 

Whitehouse,  E.  O.  W.,  72  a, 

74  b. 

Whitlock,  G.  C.,  48  b. 
Whitworth,  W.  A.,  50  b,  77  a. 
Wichmann,  R.,  80  a. 

Wiebe,  F.  K.  H.,  61  a. 
Wiedemann,  G.,  70  b. 

Wiegand,  A.,  26  a,  30  b,  48  b, 
49  a,  50  a b,  58  b,  67  a,  80  a. 
Wilde,  A.,  23  b. 

Wilde,  E.,  23.  a,  75  b. 

Wilhelm,  T.,.  4 b,  66  a. 

Wilkins,  J.,  19  b. 

Wilkinson,  M.  M.  U.,  lo  a,  38  b. 
Wilkinson,  W.,  64  a. 

Willert,  A.,  51  a. 

Williamson,  B.,  37  b,  38  a. 
Williamson,  R.  S.,  7 b,  13  a. 
Willis,  R.,  61  a. 

Wilson,  R.,  79  b. 

Wilson,  W.  D.,  23  a. 

Winkler,  E.  O.,  80  a. 

Winlock,  J.,  12  a. 

Winnecke,  A.,  35  a. 

Wit,  A.  de,  44  b. 


Witt,  J.  de,  55  b. 

Witte, , 80  a. 

Wittiber,  F.  G.  A.,  81  b.^ 

Wituski,  L.  L.,  61  b,  75 'b. 

Woepcke,  F.,  15  a,  39  b. 
Wolf,  C.,  21  a. 


Wolf,  R.,  49  a. 

Wolseley,  G.  J.,  66  a. 
Wolstenholme,  J.,  10  a,  51  a. 
Wood,  De  V.,  45  b. 

Wood,  James,  63  a. 

Wood,  John,  52  b. 

Wood,  J.  G.,  52  b. 

Woodbury,  D.  P.,  40  a,  41  b. 
Woodhouse,  R.,  23  b. 
Woolhouse,  W.  S.  B.,  37  b,  80  b. 
Worlds,  Plurality  of,  34  a, 

Worpitzky, , 46  a. 

Wright,  E.,  28  b. 

Wright,  I.  M.  F.,  10  b,  63  a. 
Wright,  J.,  80  b. 

Wrigley,  A.,  10  b. 

Wiillner,  A.,  68  b. 

Wurtz,  A.,  69  a. 


^IMENES,  L.,  49  a. 

Yarn  ALL,  m.,  7 b,  33  a, 

35  a. 

Young,  A.,  21  b. 

Young,  J.  R.,  19  b,  23  b,  26  a b, 
37  b,  38  a,  48  b,  50  a,  60  b, 
79  b. 

Young,  T.,  34  a. 

Young,  W.  B.,  80  b. 


^AHNER,  R.,  61  a. 


Zanotti,  E.,  52  b. 

Zech,  J.,  77  a. 

Zeller,  C.,  40  b. 
Zeuner,  G.,  44  b,  75  a. 
Zirkel,  P.  J.,  58  a. 
Zorer,  F.,  38  b. 
Zuchetta,  G.  B.,  30  b. 


CffnttU  Itifirarj? 


~L  PVts  U 
c?  S,i  ^ 


SPECIAL  LISTS 
No.  2 


REFERENCES 


M UN  ICIPAL  GOVERNMENT 

(S  ' 

THE  UNITED  STATES 


By  F.  H.  FIODDER 


(From  the  Library  Bulletin,  Volume  II.) 


ITHACA, 


888 


REFERENCES  ON  MUNICIPAL  GOVERNMENT  IN  THE 


UNITED 

The  municipal  reports  of  American  cities  form  the 
original  material  for  a study  of  their  government. 
Lists  of  such  reports  as  are  to  be  found  in  the  Uni- 
versity Library  have  been  printed  in  vol.  ii.  pp. 
39-42  and  61-2  of  the  Library  Bulletin.  As  there  is 
no  comprehensive  work  relating  to  the  subjeet  of 
our  munieipal  institutions,  it  has  been  thought  that 
a list  of  sueh  literature  as  exists  in  the  form  of  arti- 
cles in  periodicals  and  occasional  lectures  and  ad- 
dresses might  be  useful.  The  references  are  divided, 
so  as  to  correspond  to  the  lectures  in  the  course  on 
this  subject  given  during  the  spring  term  of  1887. 
Nearly  all  are  to  books  and  pamphlets  in  English, 
to  be  found  in  the  University  Library.  The  titles 
of  articles  printed  in  periodicals  before  January,  1882, 
may  be  found  in  Poole’s  Index. 

Local  Government  Generally. 

An  outline  sketch  of  local  administration  should 
precede  the  special  study  of  city  government. 

.Short  accounts  of  the  systems  of  local  government 
of  the  principal  countries  of  continental  Europe  are 
given  in  the  Cobden  Club  Essays:  Local  Government 
and  Taxation  (London,  1875),  edited  by  J.  W.  Pro- 
byn.  See  also  E.  Pechard’s  De  Id  administration  de 
la  France  (2  v.  Paris,  1851),  with  ai^pendix  on  muni- 
cipal organization  in  Europe. 

The  best  short  description  of  English  local  gov- 
ernment is  iM.  1).  Chalmers’s  I.ocal  Goz-ernment 
{“  English  Citizen  ” Series,  London,  1883).  ^ce 
also  I.ocal  Administration  (“Imperial  Parliament” 
Series,  London,  1887)  by  Win.  Rathbonc,  Albert 
Pell  and  P'.  C.  Montague.  P'or  still  shorter  account 
read  chap.  xv.  of  May’s  Constitutional  History,  and 
article  on  “Local  Government  in  Phigland”  by  E.  J. 
Giddings  in  the  Political  Science  Quarterly  for  Decem- 
ber, 1887.  Supplement  Chalmers  with  Cobden  Club 
Essays : Local  Government  a7id  luxation  in  the  United 
Kingdom  (London,  1882),  edited  by  J.  W.  Probyn. 
The  most  exhaustive  work  on  Phiglish  local  offices 
is  Riulol[)h  Gneist’s  Self-goi'ernment : Commuiialver- 
fassung  u.  Verwaltungsgerichte  in  England  (untrans- 
lated, 3d  ed.,  1876).  P'or  cpiite  full  bibliograjdiy  see 
Gomme’s  Literature  of  Local  Institutimis  (London, 
1886). 

The  best  short  outline  of  local  government  in  the 
United  States  is  an  article  by  .S.  A.  Galpin  on 
“Minor  Political  Divisions  of  the  United  States” 
in  Gen.  P'.  A.  Walker’s  Statistical  Atlas  of  the  United 
States.  The  papers  on  the  local  institutions  of  sev- 
eral of  the  .States  in  the  Johns  Hopkins  University 


STATES. 

Studies  m Historical  and  Political  Scieiice  are  es- 
pecially valuable.  John  Fiske’s  lecture  on  “ The 
Town  Meeting,”  delivered  at  the  Royal  Institution, 
was  printed  in  Harper’s  Magazine,  vol.  Ixx.  pp. 
265-272,  and  in  his  American  Political  Ideas  (N.  Y. 
1885).  For  comparison  of  American  and  foreign 
methods,  read  R P.  Porter’s  article  “Local  Govern- 
ment : at  Home  and  Abroad,”  Princetofi  Revieiv 
(July,  1879,  N.  s.  vol  iv.  p 172),  and  reprinted  sep- 
arately. For  further  references  on  local  self-gov- 
ernment see  W.  F.  Foster’s  Monthly  Referetice  Lists, 
vol.  ii.  pp.  23-29,  and  his  pamphlet  of  References  oti 
Political  and  Economic  Topics,  p.  24. 

For  Canada,  see  J.  G.  Bourinot’s  “ Local  Govern- 
ment in  Canada  : an  historical  study,”  in  Transac- 
tions of  the  Royal  Society  of  Canada  for  1886,  vol  iv. 
sec.  ii.  pp.  42-70.  Printed  separately  by  the  pub- 
lishers, and  reprinted,  with  a letter  on  the  municipal 
system  of  Ontario,  in  the  5th  series  of  the  Johns 
Hopkins  Studies. 

European  Cities. 

For  the  purposes  of  comparison,  a short  study 
should  be  made  of  the  governments  of  typical  Euro- 
pean cities.  Foreign  experienee  is  of  very  little 
assistance  in  the  solution  of  the  general  inoblem  of 
municii)al  government  in  the  United  .States,  but  it 
may  be  useful  in  indicating  improved  methods  of 
administration  in  particular  departments  of  a eity 
government.  Several  cities  that  illustrate  different 
forms  of  municipal  government  may  be  taken  as 
exam[)les. 

London. 

.Si)eclally  excepted  from  the  operation  of  the  Mu- 
nicipal Corporations  Act  of  1835.  For  outline  of 
government  read  Chalmers,  chap.  x.  For  full  de- 
scription see  J.  F.  B.  Firth’s  Miuticipal  London 
(1876)  and  his  Reform  of  I.ondon  Govcriimcnt  and 
of  City  Guilds  (“  Imperial  Parliament”  .Series,  Lon- 
don, 1888).  For  history  of  the  corporation  consult 
W.  J Loftie’s  History  of  London  (2d  ed.,  1884),  and 
the  same  author’s  smaller  work,  I.ondon,  published 
in  1887  in  I'Veeman’s  series  on  “English  Historic 
Towns.”  Both  books  are  based  on  new  material, 
part  of  it  recently  discovered  by  Bishop  Stubbs.  For 
additional  referenees,  see  Gomme,  ])p.  122-134. 

'I'here  have  been  a great  many  articles  on  the 
municipal  government  of  London  in  recent  periodi- 
cal literature.  Among  them  may  be  cited  those  by 
W.  Newall,  Contemporary  Review,  vol.  xxii.  p.  73 


4 


CORNELL  UNLVERSLTY. 


(1873),  and  vol.  xxv.  p 437  (1875) ; W.  M.  Torrens, 
Nmeteenth  Century  fi88o),  vol.  viii.  p.  766;  Aider- 
man  Cotton,  Benj.  Scott,  City  Chamberlain,  and  Sir 
Arthur  Hobhouse  in  Co7itemporary  Review,  vol.  xli. 
(1882),  pp.  72,  308,  and  404  respectively;  and  the 
Westniijister  Rei'iew  (January,  1887).  Reference 
may  also  be  made  to  S.  C.  Buxton’s  LLandbook  to 
Political  Qnestio7is  of  the  Day  (6th  ed.,  London,  1888). 
The  London  Government  Bill,  introduced  in  1884, 
was  dropped,  owing  to  pressure  of  other  business. 
A paper  on  “ The  Government  of  London,”  read  by 
Prof.  A.  M.  Wheeler  at  the  meeting  of  the  American 
Historical  Association  in  Boston,  May  24,  1887,  will 
probably  be  printed  among  the  papers  of  the  Associa- 
tion. For  a good  review  of  the  attempts  since  i860 
to  regulate  the  London  gas  supply,  see  an  article  in 
the  British  Quarterly  for  January,  1879. 

A Royal  Commission  on  the  City  Livery  Compa- 
nies reported  May  28,  1884.  See  the  discussion  by 
Sir  R.  A.  Cross,  one  of  the  dissenting  members  of 
the  Commission,  in  the  N'i7ietee7ith  Ce7itu7'y  for  1884, 
vol.  xvi.  p.  47,  and  by  Sir  Arthur  Hobhouse  in  the 
Co7ite77ip07’ary  Review  for  1885,  xlvii.  p.  i.  The 
most  important  work  on  the  London  guilds  is 
William  Herbert’s  Llistory  of  the  Twelve  Great 
Co77ipa7iies  of  Lo7ido7i  (London,  1837).  The  latest 
contribution  to  the  subject  is  Price’s  Desc7'iptio7i  of 
the  Guildhall  (London,  1887). 

Berlin. 

An  excellent  short  account  of  the  government  of 
Berlin  is  given  by  Dr.  Rudolph  Gneist,  a member  of 
the  municijial  council  since  1848,  in  the  Co7itet7ipo- 
ra/y  Review,  vol.  xlvi.  p.  769,  December,  1884.  See 
also  the  report  on  the  “ Administration  of  the  City 
of  Berlin”  in  F'oreig7i  Relatio7is  for  1881,  j).  487, 
made  by  Assistant-.Secretary  of  Legation  Coleman  at 
the  recpiestof  Hon.  Andrew  D.  White,  then  Minister 
to  Germany.  Also  the  articles  by  Prof.  R.  T.  Ely  in 
the  Natio7i  for  March  23  and  30,  1882,  vol.  xxxiv. 
pp.  145  and  267.  The  same  writer  printed  an  article 
on  street  cleaning  in  Berlin  in  the  Eve7ii77g  Post  for 
April  6,  i88r.  Reference  may  also  be  made  to  a 
lecture  by  E.  Eberty  entitled  Die  Aiifgabe7i  der  Be7'- 
lincr  Co77i77i7i7ialve7-iaaltii7tg  nnd  die  ErJwhiaig  der 
stddtische7i  Steiier7i  (Berlin,  1878).  The  Magistracy 
publish  reports  at  irregular  intervals.  The  first, 
Bericht  iiber  die  Verwaltit77g  der  Stadt  Berli77,  /;/  de7i 
Jahre/i  1829  bis  incl.  1840  (Berlin,  1842),  and  the 
second,  /«  de7i  yahre7i  1841  bis  i7icL  1850  (Berlin, 
1853),  are  in  the  University  library.  A third,  ]nib- 
lished  in  1863,  covers  the  period  from  1851  to  i86o, 
and  a fourth,  printed  in  1882,  covers  the  period  from 
i86r  to  1876.  The  Director  of  the  Statistical  Bureau 
of  the  city  publishes  annually  Das  Sti/tistische  Jahr- 
buch  der  Stadt  Berli7i. 

'I'he  present  municipal  system  of  Prussia  dates 
from  the  reorganization  of  the  municiiialitics  by 
Stein  and  Hardenberg,  Nov.  19,  1808.  Sec  Seeley’s 


Life  of  Stein,  part  v.,  chap,  iii.,  and  Meier’s  Refor77t 
der  P erwaltn7tgs-Orga7tizatio7i  imter  Stem  tmd Harden- 
berg (Leipsig,  1881).  The  present  “ Municipal  Cor- 
porations Act”  {Stddteord7inng)  was  passed  May  30, 
1853.  See  Kotze,  Die  Prenssische7i  Stddte  Verfis- 
sii7ige7t  (Berlin,  1879)  5 Backoffner,  Die  Stddteord- 
7iimge7i  der  Prenssische7i  Mo7iarchie  (Berlin,  1880). 

Vienna. 

For  short  account  of  the  municipal  government 
see  Report  of  Mr  Kasson  in  Foreig7i  Relatio7is  for 
1879,  P-  ^4,  and  for  an  extended  account  consult 
Dr.  Felder’s  Die  Ge77iei7ide-Ve7'ivalt7mg  der  Reichs- 
haiipt-  tmd  Residetizstadt  Wie7t  (Vienna,  1872). 

Paris. 

A sketch  of  the  government  by  Yves  Guyot,  a 
member  of  the  municipal  council,  may  be  found  in  the 
Co7ite77iporary  Review  (March,  1883),  vol.  xliii.  p.  439. 
An  extended  description  is  given  in  a work  entitled 
Ad7ninistratio7t  de  la  Ville  de  Pat'is,  written  by  Hemi 
De  Pontich  under  the  direction  of  Maurice  Block 
(Paris,  Guillaumin,  1884).  The  Rapports  et  Docu- 
i7ie7its  and  P7'oces-  Verbaux  of  the  municipal  council 
are  printed  yearly  in  three  large  cjuarto  volumes,  and 
the  municipal  bureau  of  statistics  issues  an  annual 
report. 

A study  of  French  municipal  law  in  the  i8th 
century,  Une  Electio7i  Mutiicipale  (<z  Dj77ifro7it)  en 
1738,  by  Albert  Christophle  (Paris,  1874),  may  be 
noted  in  this  connection. 

American  Cities. 

Legal  Status. 

P'or  a comparison  of  the  provisions  of  the  state 
constitutions  relating  to  municipal  corporations  see 
F.  J.  Stimson’s  A77ierica7i  Statute  Law  (Boston,  1886), 
vol.  i.,  articles  34,  37  and  50.  Note  the  classification 
of  municipalities  in  Ohio.  On  the  relation  of  munici- 
palities to  the  states  consult  the  chapter  on  ” The 
flrades  of  Municipal  Government  ” in  Judge  T.  M. 
Cooley’s  Co7istittitio7tal  Li77iitatio7is  (5th  ed.,  Boston, 
1883).  Judge  J.  F.  Dillon’s  Treatise  oti  the  Laiu  of 
J/u7iicipal  Co7p07'atio7is  (3d  ed.,  Boston,  1881)  is  the 
standard  authority  on  this  subject.  Note  the  intro- 
ductory historical  sketch.  Reference  may  also  be 
made  to  the  same  writer’s  L.aw  of  I\lH7iicipal  Bo7ids 
(Chicago,  1877),  and  to  A Treatise  on  Mii7iicipal  Police 
Ordi7ia7ices  (Chicago,  1887)  by  N.  T.  Horr  and 
A.  A.  Bemis,  of  the  Cleveland  bar.  The  authors  of 
the  last  work  say  in  their  preface  that"  The  necessity 
for  it  arises  from  the  fact  that,  except  in  those  cities 
and  towns  where  the  municipal  council  has  the  as- 
sistance of  regularly  employed  legal  advisers,  the 
limits  of  lawful  legislation  are  apt  to  be  exceeded.” 

Numerous  references  to  articles  in  law  journals 
arc  given  on  ])p.  386-388  of  Jones’s  L7idex  to  Legal 
Periodical  Lilerattire  (Boston,  1888). 


L//^A'A  R V BULLE  TIN. 


Statistics. 

The  following  Reports  of  the  Tenth  Census  treat  of 
this  subject:  vol.  i.  Population;  vol.  vii.  Valuation, 
Ta.xation,  and  Indebtedness  ; vol.  xviii.  Social  Sta- 
tistics of  Cities:  New  England  and  Middle  States 
(reviewed  in  the  A'otion,  vol.  xliv.  p.  256) ; vol.  xix. 
Social  Statistics  of  Cities:  Southern  and  Western 
.States  (not  yet  printed). 

Scribner’s  Statistical  Atlas  of  the  United  States 
(N.  Y.,  1883),  exhibits  the  figures  of  the  census 
graphically  ( p.  xlv,  statistics  of  population ).  Plate  2 1 
illustrates  the  growth  of  American  cities  since  1790.  i 
There  were  then  only  eight  cities  of  eight  thousand  I 
inhabitants,  and  the  population  of  New  York  was  | 
33,131.  Plate  30  gives  ratios  of  different  national!-  j 
ties  to  total  population  in  the  fifty  largest  cities.  I 
Plate  76  gives  net  per  capita  debt  in  the  hundred 
largest  cities. 

On  statistics  of  population  see  an  article  by  j 
B.  G.  Magie,  Jr.,  in  Scribner's  Monthly,  vol.  xv. 
p.  418  (January,  1878),  and  another  by  Prof.  Rich- 
mond M.  Smith  in  the  Independent,  vol.  xxxviii. 
p.  553  (May  6,  1886).  Cf.  work  by  E.  Levasseur,  I 
entitled  Les  Populations Urbai}ies  en  France,  coniparees 
a celles  de  I Etranger  (Paris,  1887).  lecture  de- 
livered by  Gen.  F.  A.  Walker  in  the  Lowell  Insti- 
tute Course  for  1886  on  “City  Population  in  the 
United  States  ” has  not  yet  been  printed. 

The  Annnal  Statistician  for  1887,  published  by 
L.  P.  McCarty,  San  Francisco,  gives  the  following 
statistics  for  seventeen  leading  cities:  number  of 
votes  registered  and  polled  ; number  of  voting  pre- 
cincts; strength  of  police;  losses  by  fire  and  number 
of  fire  engines  and  firemen  ; value  and  caj)acity  of 
gas  and  waterworks  ; number  and  character  of  street- 
lights ; vital  statistics;  number  of  murders,  suicides, 
and  executions  ; length  of  street  railroads  and  cost 
of  motive  power;  telegraph  and  telephone  mileage;  | 
number  of  saloons  and  cost  of  licenses  ; attendance 
and  cost  of  schools ; annual  tax-rate,  expenditure 
and  the  public  debt.  Similar  statistics  are  being  pre- 
pared by  the  .American  Economic  Association. 

Wm.  W.  Goodwin’s  Directory  of  the  Gas  Light 
Companies  (N.  V.,  A.  M.  Callendar  & Co.)  and  the 
same  writer’s  paper  on  “ Statistics  regarding  the  Gas 
Comj)anies  of  America,’’  read  at  the  Fourteenth 
Annual  Meeting  of  the  American  Gas  Eight  Associ- 
ation, held  in  Philadelphia  in  October,  1886.  printed 
in  the  American  Gas  Ldght  fonrnal  for  Dec.  16,  1886, 
and  reprinted  separately,  gives  the  number  of  gas 
companies,  number  of  public  lamps,  price  of  gas, 
method  of  manufacture,  &c.  Five  cities  in  the 
United  .States  f)wn  their  gas  works:  Philadelphia; 
Wheeling,  West  Virginia;  and  Alexandria,  Dan- 
ville, and  Richmond,  Virginia.  Dresser’s  “Report 
on  the  Gas  Industry,”  compiled  for  the  tenth  census, 
will  not  be  published. 

J.  J.  R.  Croes  in  his  Statistical  Tables  of  American 
Water  Works  (Engineering  News  Publishing  Co, 


5 

N.  Y.,  3d  issue,  1887)  gives  for  each  city  the  owner- 
ship  and  date  when  water  works  were  built ; the 
source  and  mode  of  supply  ; cost,  debt,  and  rate  of 
interest  ; annual  expense  and  revenue  from  con- 
sumers and  the  public;  the  number  of  miles  of  pipe 
and  kind  of  pipe  for  main  and  services;  the  number 
of  taps,  meters,  and  hydrants  ; the  ordinary  and  fire 
pressure  and  the  daily  consumption.  The  first 
works  in  the  United  States  for  public  supply  were 
built  at  Bethlehem,  Pa,  in  1754.  New  York  was 
first  supplied  in  1799,  and  Philadelphia  in  1801. 
Water  in  both  cities  was  pumped  by  steam-engines 
and  distributed  through  bored  wooden  logs. 
Finance. 

Vol.  vii.  of  the  Reports  of  theTenth  Census,  compiled 
by  Robert  P.  Porter,  gives  statistics  of  local  taxation 
and  indebtedness,  and  a summary  of  the  provisions 
of  the  several  state  constitutions  limiting  the  rate  of 
taxation,  the  amount  of  municipal  debts,  and  the 
purposes  for  which  they  may  be  contracted.  See 
p.  674  for  an  analysis  of  the  purposes  for  which  the 
debt  outstanding  in  1880  was  contracted.  Mr.  Por- 
ter published  an  article  on  municipal  debts  in  the 
N.  Y.  Banker's  Magazine  for  Sept.,  1876,  and 
another  in  Lalor’s  Cyclopcedia  of  Political  Science, 
vol.  i.  p.  730.  Cf.  also  his  article  in  the  Princeton 
Reviezo,  x.  s.,  vol.  iv.  p.  172.  For  a further  study 
of  this  subject,  read  Prof.  1 1.  C.  Adams’s  Public  Debts 
(N.  Y.,  1887),  Part  III  , chap.  iii.  See  also  G.  W. 
Green’s  article  on  “Municipal  Bonds”  (Lalor’s 
Cyclopedia,  vol.  ii.  p.  920);  C.  Hale’s  “Debts  of 
Cities”  (Atlantic,  vol.  xxxviii.  p.  661)  for  the  law  of 
Massachusetts;  D.  L.  Harris’s  “Municipal  Econ- 
omy” (Journal  of  Social  Science,  vol.  ix  p.  149) 
for  the  experience  of  Springfield,  Mass.,  and  arti- 
cles in  Bradstreet's  for  Feb.  10  and  March  3,  1883, 
for  a comparison  with  local  debts  in  England. 
On  the  debt  of  New  York  City  see  the  paper  by 
Wm.  M.  Ivins  cited  below.  A Statement  of  Pacts 
Concerning  the  Financial  Affairs  of  the  City  of  Eliza- 
beth, A\  J.,  which  has  the  largest  per  capita  debt  in 
the  United  States,  was  jniblishcd  by  some  of  the  cit- 
izens of  that  ])lace  in  Jan.,  1886. 

On  the  subject  of  local  taxation  the  Reports  of  the 
Commissioners  Appointed  to  Revise  the  Laws  for  the 
Assessme)it  and  Collection  of  I'axes  in  N'ew  York  (1871 
and  1872)  contain  much  valuable  material.  'I'he 
members  of  the  Commission  were  David  A.  M'ells, 
Edwin  Dodge,  and  George  W.  (Juyler.  d’he  first  re- 
port was  reprinted  in  New  York  by  I larpers,  and  both 
were  reprinted  in  England  by  the  Cobden  Club.  Cf. 
also  Wells’s  “'rheoryand  Practice  of  Local  'I'axa- 
tion  in  America”  in  the  Atlantic  Monthly  for  Jan., 
1874  ; “ Rational  Principles  of  'I'axation,’*  a paper 
read  in  New  \'ork,  May  20,  1874  (Journal  of  Social 
Science,  vol.  vi.  p.  120);  and  his  “ Reform  of  Local 
Taxation  ” in  the  .Vorth  American  Review  for  Ajnil, 
1876.  On  the  evils  of  double  taxation  sec  a |)apcr 
on  “ Local  'I'axation  ” by  William  Minot,  Jr.,  read  in 


6 


CORNELL  UNI  VERS /TV. 


Saratoga,  Sept.  5,  1877,  and  printed  in  the  Journal 
of  Social  Science,  vol.  ix.  p.  67.  See  Report  in  1876 
of  New  Hampshire  'I'ax  Commission,  composed  of 
Geo.  Y.  Sawyer,  H.  R.  Roberts,  and  Jonas  Liv- 
ingstone ; and  Report  of  the  Michigan  Commission 
[House  Journal,  Feb.  23,  1882).  A similar  Commis- 
sion, appointed  by  the  City  of  Baltimore,  reported  in 
Jan.,  1886.  The  Report  contains,  in  addition  to  the 
recommendations  of  the  Commission,  a paper  by  Prof. 
R.  T.  Ely^  entitled  “ Suggestions  for  an  improved 
system  of  Taxation  in  Baltimore.”  Prof.  Ely  will 
also  treat  of  municipal  taxation  in  his  forthcoming 
work  on  Taxation  in  American  Slates  and  Cities.  A 
recent  article  on  “ Municipal  Finance  ” may  be  found 
in  Scribner's  Magazine  (Jan.,  1888),  vol.  iii.  pp.  33-40. 
General  Discussions. 

d'he  Report  of  the  Com?nission  to  devise  a Plan  for 
the  Government  of  Cities  in  the  State  of  N'eiv  YorJ^ 
(.\ssembly  Doc.  no.  67,  1877)  is  very  important. 
The  Commission  was  appointed  by  Governor  Til- 
den,  with  \Vm.  M.  Evarts  as  chairman.  The  consti- 
tutional amendment  proposed  by  the  Commission 
was  discussed  by  E.  L.  Godkin  in  the  A\ition, 
vol.  xxvi.  p.  loS.  See  also  the  Report  of  the  Commis- 
sion to  devise  a Plan  for  the  Gcn'ernment  of  Cities  of 
the  State  of  Pcnnsydvania  (Harrisburg,  1878),  and 
Governor  Hartranft’s  message  of  Jan.  4,  1876,  advis- 
ing the  appointment  of  the  Commission. 

d'he  following  papers  have  been  printed  in  the 
Johns  Hopkins  University  Studies  in  PH  story  and 
J'olitical  Science:  ‘‘The  City  of  Washington,”  by 
J A.  Porter,  in  vol.  iii.;  “The  Town  and  City 
Government  of  New  Haven,”  by  Charles  H.  Lever- 
more,  in  vol.  iv. ; “ City  Government  of  Philadelphia,” 
by  Edward  P.  Allinson  and  Boies  Penrose;  “City 
(Government  of  Boston,”  by  James  .M.  Bugbee  ; and 
“ City  Government  of  St.  Louis,”  by  Marshall  S. 
.Snow,  in  vol.  v.  Extra  volume  i.  of  these  Studies  is 
/'he  Republic  of  Ne7v  ILaven : A LPistory  of  Municipal 
Jivolution  (Baltimore,  1886),  by  Charles  H.  Lever- 
more.  The  paper  on  New  Haven  first  mentioned  is 
a reprint  of  chapters  viii.  and  ix.  of  this  work. 
Extra  volume  ii.  is  entitled  Philadelphia,  1681-18S7. 
A Study  oj  Municipal  JPevelopment  (Phila.,  1887),  by 
Edward  P.  Allinson  and  Boies  Penrose.  The  study 
of  Philadeli)hia  before  cited  is  a preliminary  sketch 
of  the  larger  volume. 

A number  of  articles  relating  to  city  government 
have  appeared  in  the  I^'orum : “ 'I’he  New  York  Al- 
dermen,” by  E.  .S.  Nadal  (.Sept.,  1886);  “Our  I^olit- 
ical  Methods  ” relating  to  New  York,  by  David 
Dudley  Field  (Nov.,  1886);  “Waste  by  Fire,”  by 
Clifford  'I'hompson  (Sept.,  1886)  ; “ English  and 
American  Fire  Services,”  by  IL  D.  I’urroy  (Nov., 
1886);  “A  Letter  to  the  People  of  New  York,”  by 
Howard  Crosby  (Dec.,  1886) ; “ A Letter  to  the  Peo- 
ple of  1‘hiladclphia,”  by  Henry  C.  Lea  (Jan.,  1887)  ; 

“ Overgrown  City  (Government,”  by  James  Parton 
(Feb.,  1 8S7) Remedies  for  Municipal  Misgovern- 


ment,”  by  Amos  K.  Fiske  (April,  1887)  ; and  “ The 
Congestion  of  Cities,”  by  E.  E.  Hale  (Jan.,  1888). 

Prize  Essays  on  Municipal  Reform,  written  for  the 
Cambridge  Civil  Service  Reform  Association  (Cam- 
bridge, 1884),  contain  “The  Selection  of  Municipal 
Officers  : their  Terms  and  Tenure,”  by  T.  H.  Pease, 
of  Chicago,  111.;  “The  Appointment  of  Municipal 
Officers,”  by  John  Prentiss,  of  Keene,  N.  H.  ; and 
“The  Selection  and  Tenure  of  Office  of  Municipal 
Officers,”  by  Prof  H.  T.  Terry,  of  the  University  of 
Tokio,  Japan. 

Simon  Sterne  has  an  article  on  the  “Administra- 
tion of  American  Cities  ” in  Lalor’s  Cyclopccdia  of 
Political  Science,  vol.  i.  p.  460,  and  another  with  the 
same  title  in  the  Lnternational  Review,  vol.  iv.  p.  361. 
See  also  his  Suffrage  in  Cities  (No.  7,  Putnam’s  “ Eco- 
nomic Monographs,”  o.  p.)  and  his  Constitutional  His- 
tory of  the  United  States  (N.  Y.,  1882),  pp.  257  and 
266-274.  Mr.  Sterne  was  a member  of  the  New  York 
Commission. 

Wm.  M.  Ivins,  Chamberlain  of  New  York  City, 
has  published  a pamphlet  on  The  Municipal  Debt 
and  Sinking-Fund  of  the  City  of  Neiv  York,  contain- 
ing an  argument  on  hearing  before  the  Governor, 
June  2,  1885,  and  an  historical  review  of  the  funded 
debt  and  of  the  operations  of  the  sinking-fund  since 
their  foundation.  In  an  article  on  “ Municipal  Gov- 
ernment,” Political  Science  Quarterly  (June,  1887),  he 
shows  that  the  changes  in  municipal  organization 
have  been  incident  to  the  extension  of  the  general 
functions  of  government,  and  gives  an  analysis  of 
the  system  of  government  in  New  York  City.  His 
Machine  Politics  and  Money  in  Elections  in  Nezv  York 
City  (Harper’s  “Handy  Series,”  N.  Y.,  1887)  de- 
scribes the  working  of  the  election  laws,  and  advo- 
cates the  adoption  of  the  essential  features  of  the 
English  system.  For  the  English  law  in  full, see  Lely 
and  Foulkes’s  Parliamentary  Election  Acts  (London, 
1885). 

Hon.  .Seth  Low,  Ex-Mayor  of  Brooklyn,  delivered 
an  address  on  The  IPoblem  of  PTunicipal  Government 
before  the  Historical  and  Political  Science  Associa- 
tion of  Cornell  University,  March  16,  1887  (printed 
by  the  University)  ; an  address  on  Miini.:ipal  Gov- 
ernment in  Rochester,  N.  Y.,  Feb.  19,  1885  (printed 
by  the  Municipal  Reform  League  of  Rochester); 
and  a speech  on  Municipal  Home  Rule  in  Brooklyn, 
N.  Y , Oct.  6,  1882. 

Reference  may  be  made  to  Franklin  Ford’s  Delu- 
sive Methods  of  Municipal  Einanciering,  a paper  read 
before  the  Municipal  .Society  of  New  York  in  the 
spring  of  1879,  ^’^^1  a brochure  on  The  N'ezo  York 
City  Charter  (N.  Y.,  1882),  comprising  a number  of 
articles  that  had  appeared  in  I/radstreefs  Journal. 
Mr.  Ford’s  papers  on  municipal  government,  read  be- 
fore the  Social  .Science  Association  of  Philadelphia 
and  the  American  Association  at  Saratoga,  have 
never  been  printed. 

The  revision  in  1881  of  the  city  charter  of  New- 


L TBRA  R y B ULLE  T/N. 


1 


ton,  Mass.,  started  a discussion  of  municipal  metliods. 
A majority  of  the  Commissioners  reported  one  plan, 
and  a minority  another.  Francis  J.  Parker,  one  of 
the  minority,  published  Study  of  Muniiipal  Govern- 
ment in  Massachusetts  (Boston,  i88i),and  the  discus- 
sion of  the  subject  was  continued  by  Mr.  Parker  and 
Prof,  W.  F.  Allen  in  the  Nation^  vol.  xxxiii.  pp.  169 
and  196. 

The  following  discussions  of  the  general  subject  of 
municipal  administration  may  be  cited  : Dorman  B. 
Baton’s  “ Municipal  Government  ” [Journal  of  Social 
Science,  vol.  v.  p.  i),  a paper  read  in  Boston  May  13, 
1873  ? Samuel  Bowles’s  “ Relation  of  State  to  Munici- 
pal Governments,  and  the  Reform  of  the  Latter  ” 
[Journal  of  Social  Science,  vol.  ix.  p.  140),  a paper  read 
in  Saratoga,  Sept.  7,  1877  ; Charles  Reemelin’s“  City 
Government,”  a paper  read  at  the  meeting  of  the 
American  Association  for  the  Advancement  of  Sci- 
ence held  at  Ann  Arbor,  Mich  , in  August,  1885; 
G.  M.  Browne’s  “Municipal  Reform”  [New  Eug- 
lander,  vol.  xlv.  p.  152)  ; Carter  H Harrison’s  “ Mu- 
nicipal Government,”  an  address  delivered  before 
the  Nineteenth  Century  Club  of  New  York  City, 
Nov.  23,  1886;  F.  D.  Crandon’s  “ Misgovernment  of 
Great  Cities”  [Popular  Science  Afonthly,  vol.  xxx. 
pp.  296  and  520)  ; John  D.  Cutter’s  open  letter  in 
the  Century  (May,  1887),  vol.  xxxiv.  p.  157,  suggest- 
ing the  re-establishment  of  guilds  for  the  purposes 
of  city  government ; Gamaliel  Bradford’s  “ Municipal 
Government”  in  Scribner's  Magazine  (Oct.,  1887) 
vol.  ii.  pp.  485-493. 

Special  Topics. 

Prof.  E.  J.  James’s  monograph.  The  Relation  of  the 
Modern  Municipality  to  the  Gas  Supply  (Publications 
of  the  American  Economic  Association,  vol.  i,  nos.  2 
and  3,  1886),  advocates  the  public  ownership  of  gas- 
works. Cf.  the  references  under  the  head  of  statistics, 
and  the  article  on  “ London  Gas  ” in  the  Quarterly 
Reviejv  for  Jan.,  1879.  the  subject  of  education 

see  John  1).  Philbrick’s  City  School  Systems  [Ca\  z\\\-^x 
of  Information  no.  i,  1885,  issued  by  the  National 
Bureau  of  lulucation).  On  sanitary  cpiestions  con- 
sult I'hwin  F.  Smith’s  Injluence  of  Sewerage  and 
PVater-Supply  on  the  Death-Rate  in  Cities  (a  jiaper 
read  at  a Sanitary  Convention  in  Ypsilanti,  Mich., 
July  I,  1885,  and  reprinted  from  a Supplement  to  the 
Annual  Report  of  the  Michigan  State  Board  of  Health 
for  the  year  1885)  and  the  numerous  references  given 
in  the  notes.  Cf.  also  Dr.  L.  L.  Seaman’s  Social 
Wade  of  [.urge  Cities,  a paper  read  before  the  Amer- 
ican Association  for  the  Advancement  of  Science, 
Aug.  16,  1887.  For  reference  on  the  charities  of 
Baltimore,  Philadelphia,  New  York,  and  Boston,  see 
Prof.  H.  B.  Adams’s  “ Notes  on  the  Literature  of 
Charities  ” [Johns  Hopkins  Studies,  vol.  v.  no.  8). 

Particular  Cities. 

Many  of  the  papers  already  cited,  especially  the 
Johns  Hopkins  Studies  and  the  articles  in  the  Eortim 


relate  to  particular  cities,  but  have  been  referred  to 
above  because  of  their  more  or  less  general  ap])lica- 
tion.  A special  study  may  be  made  of  New  York, 
and  a few  notes  on  other  cities  added. 

New  York  City.  For  a brief  account  of  the 
system  of  government  see  the  article  on  “ New 
York  ” by  E.  L.  Godkin  in  the  Encyclopccdia  Britan- 
nica  (9th  ed.,  vol.  xvii.).  Dr.  J.  F.  Jameson’s  “ Origin 
and  Development  of  the  Municipal  Government  of 
N ew  York  City  ” [Magazine  of  American  History,  May 
and  September,  1882),  gives  a sketch  of  municipal 
government  down  to  1821.  A portion  of  each  volume 
of  the  Alanual  of  the  Corporation  (28  v.,  1841-7 1 ),  after 
that  for  1846,  is  devoted  to  a history  of  the  city.  The 
fact  that  James  Parton  in  Oct.,  1866  [North  Ameri- 
can Rrview,  vol  ciii.  p.  413),  attributed  the  growing 
evils  in  the  government  of  the  city  to  the  abolition 
of  household  suffrage  is  interesting  in  connection 
with  the  recommendation  of  the  Commission  of  1877. 
See  also  in  the  N'orth  American  Revieiv,  “ The  Judi- 
ciary of  New  York”  (July,  1867,  vol.  cv.  p.  148),  and 
Charles  Nordhoff’s  “ Misgovernment  of  New  York  ” 
(Oct.,  1871,  vol.  cxiii.  p.  321).  An  account  of  the 
Tweed  ring  may  also  be  found  in  the  N'orth  Ameri- 
can Revirw,  in  a series  of  articles  by  C.  F.  ingate, 
entitled  “ An  Episode  in  Municipal  Government,” 
beginning  in  the  number  for  Oct.,  1874,  and  ending  in 
the  number  for  Oct.,  1S76.  On  the  same  subject  cf. 
A.  II.  Green’s  Three  Years'  Struggle  with  Municipal 
Afisrule  in  New  York  City,  a Rejoort  made  by  the 
Comptroller  to  the  Board  of  Aldermen,  Feb.  18,  1875, 
and  S.  J.  Tilden’s  “ Municipal  Corruption,”  Laxu 
Magazine  and  Reznew,  N.  S.  vol.  ii.  P-  525  (London, 
1873).  Geo.  II.  Andrews’s  Tzoelve  Letters  on 

the  Euture  of  Nezv  York  (N.  Y.,  1877).  The  entire 
second  volume  of  the  Statutes  of  APzo  York  for  1882 
is  devoted  to  the  present  charter  of  the  City  of  New 
York,  or  the  “ Consolidated  Act,”  as  it  is  called. 
The  Investigation  of  the  Department  of  Public  Works 
in  1884  was  i)rintcd  in  Senate  Doc.  no.  57,  1884  ; and 
the  investigation  by  the  committee,  of  which  'I'lico- 
dore  Roosevelt  was  chairman,  was  reported  in  As- 
sembly Docs.  nos.  125,  153,  and  172,  1884.  'I'he 
Report  of  the  Investigation  of  the  A^ezv  York  Consoli- 
dated Gas  Company  iowws,  Senate  Doc.  no.  47,  1886. 
The  committee  found  that  in  1883  the  gas  trust  de- 
clared dividends  of  from  23  to  33  per  cent.  Of 
recent  articles  on  cost  and  methods  of  elections  cf. 
Win.  M.  Ivins’s  articles  cited  above;  Theodore 
Roosevelt’s  “ Machine  Politics  in  New  York  City  ” 
in  the  Century  (Nov.,  1886),  vol.  xxxiii.  p.  74; 
J.  B.  Bishop’s  Money  in  City  Elections,  an  address 
read  before  the  Commonwealth  Club  in  New  York 
March  21,  1887  (reported  in  the  Evening  Post  and  re- 
[)rinted  separately) ; the  same  writer’s  “ 'I'hc  Law  and 
the  Ballot,”  Scribbler's  Magazine  (Feb.  1888),  vol.  iii. 
p.  194;  and  the  Nation  (vol.  xliv.  i)p.  r8o  and  204). 

Philadelphia.  Johns  Hopkins  Studies  cited 
above;  E.  V.  Smalley’s  article  on  the  “ Committee 


8 


CORNELL  UNLVERSLTY. 


of  100  ” in  the  Ce)itHry  (July,  1883),  vol.  iv.  p.  395; 
the  A^iition,  I'J’ov.  26,  18S5  ; Publications  of  the  Phila- 
delphia Social  Science  Association  for  1876  and  1877, 
on  the  subject  of  building  associations.  The  re- 
form charter  or  the  “ Bullitt  Bill,”  which  went  into 
effect  Aj)ril,  18S7,  is  said  to  be  a model  municipal 
constitution. 

Chicago.  Reports  of  the  Citizens'  Association,  be- 
ginning in  1874. 

Boston.  Report  of  the  Commission  on  the  City 
Charter  and  'I'wo  Minority  Reports  (Docs.  120,  146, 
and  147,  1884).  The  first  Report  contains  an  outline 
of  the  municipal  governments  of  New  York,  Brook- 
lyn, Philadelphia,  Baltimore,  St.  Louis,  and  Chi- 
cago. See  also  Report  of  Joint  Committee  of  the  City 
Coiuicil  of  Boston  upon  the  Subject  of  Gas  ( Boston, 
1867). 


Cincinnati.  J.  F.  Tunison’s  Cincinnati  Riot:  its 
Causes  and  Results  (Robt.  Clarke  & Co.,  1886).  . 

Charleston.  The  YeaiPooks  contain  in  the  ap- 
pendices much  valuable  historical  matter.  That  for 
1880  gives  a sketch  of  the  development  of  the  city 
government ; that  for  1883  a description  of  the 
centennial  celebration,  with  an  historical  review ; 
and  the  last  volume  contains  an  account  of  the 
earthquake  of  Aug.  3r,  1886. 

Washington.  See  references  under  District  of 
Columbia,  vol.  ii.  p.  40,  of  this  Btdletin.  The  Johns 
IPopkms  Shtdy  was  reviewed  in  the  Nation  for 
Jan.  14,  1886,  p.  26.  Though  not  strictly  within  the 
scope  of  this  list,  reference  may  be  made  to  Dr. 
A.  R.  Spofford’s  address  before  the  Maryland  His- 
torical Society  on  The  Founding  of  Washington  City 
(J.  Murphy  & Co.,  Baltimore). 


F.  H.  H. 


